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Finding the Fourth Proportional to 342,708.73, 514,143.30 and 106,038.88

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Solution

The fourth proportional to 342,708.73, 514,143.30 and 106,038.88 is: 159,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,708.73 : 514,143.30 = 106,038.88 : x
  2. Step 2: Convert to fraction form
    342,708.73/514,143.30 = 106,038.88/x
  3. Step 3: Cross multiply
    342,708.73x = 514,143.30 × 106,038.88
  4. Step 4: Simplify right side
    342,708.73x = 54,519,179,691.50
  5. Step 5: Solve for x
    x = 54,519,179,691.50/342,708.73
  6. Step 6: Final answer
    x = 159,083.14

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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.