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Finding the Fourth Proportional to 230,265.44, 345,444.74 and 97,146

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Solution

The fourth proportional to 230,265.44, 345,444.74 and 97,146 is: 145,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,265.44 : 345,444.74 = 97,146 : x
  2. Step 2: Convert to fraction form
    230,265.44/345,444.74 = 97,146/x
  3. Step 3: Cross multiply
    230,265.44x = 345,444.74 × 97,146
  4. Step 4: Simplify right side
    230,265.44x = 33,558,574,712.04
  5. Step 5: Solve for x
    x = 33,558,574,712.04/230,265.44
  6. Step 6: Final answer
    x = 145,738.65

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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.