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Finding the Fourth Proportional to 93,498.16, 140,065.80 and 83,026.48

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Solution

The fourth proportional to 93,498.16, 140,065.80 and 83,026.48 is: 124,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498.16 : 140,065.80 = 83,026.48 : x
  2. Step 2: Convert to fraction form
    93,498.16/140,065.80 = 83,026.48/x
  3. Step 3: Cross multiply
    93,498.16x = 140,065.80 × 83,026.48
  4. Step 4: Simplify right side
    93,498.16x = 11,629,170,342.38
  5. Step 5: Solve for x
    x = 11,629,170,342.38/93,498.16
  6. Step 6: Final answer
    x = 124,378.60

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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.