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Finding the Fourth Proportional to 156,743.46, 216,372.16 and 105,825.14

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Solution

The fourth proportional to 156,743.46, 216,372.16 and 105,825.14 is: 146,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,743.46 : 216,372.16 = 105,825.14 : x
  2. Step 2: Convert to fraction form
    156,743.46/216,372.16 = 105,825.14/x
  3. Step 3: Cross multiply
    156,743.46x = 216,372.16 × 105,825.14
  4. Step 4: Simplify right side
    156,743.46x = 22,897,614,124.10
  5. Step 5: Solve for x
    x = 22,897,614,124.10/156,743.46
  6. Step 6: Final answer
    x = 146,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.