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Finding the Fourth Proportional to 156,060.10, 215,305.31 and 102,418

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Solution

The fourth proportional to 156,060.10, 215,305.31 and 102,418 is: 141,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,060.10 : 215,305.31 = 102,418 : x
  2. Step 2: Convert to fraction form
    156,060.10/215,305.31 = 102,418/x
  3. Step 3: Cross multiply
    156,060.10x = 215,305.31 × 102,418
  4. Step 4: Simplify right side
    156,060.10x = 22,051,139,239.58
  5. Step 5: Solve for x
    x = 22,051,139,239.58/156,060.10
  6. Step 6: Final answer
    x = 141,299.02

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