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Finding the Fourth Proportional to 97,297.54, 145,946.31 and 75,143.23

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Solution

The fourth proportional to 97,297.54, 145,946.31 and 75,143.23 is: 112,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,297.54 : 145,946.31 = 75,143.23 : x
  2. Step 2: Convert to fraction form
    97,297.54/145,946.31 = 75,143.23/x
  3. Step 3: Cross multiply
    97,297.54x = 145,946.31 × 75,143.23
  4. Step 4: Simplify right side
    97,297.54x = 10,966,877,139.98
  5. Step 5: Solve for x
    x = 10,966,877,139.98/97,297.54
  6. Step 6: Final answer
    x = 112,714.85

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.