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Finding the Fourth Proportional to 156,417.08, 215,799 and 102,731.18

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Solution

The fourth proportional to 156,417.08, 215,799 and 102,731.18 is: 141,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,417.08 : 215,799 = 102,731.18 : x
  2. Step 2: Convert to fraction form
    156,417.08/215,799 = 102,731.18/x
  3. Step 3: Cross multiply
    156,417.08x = 215,799 × 102,731.18
  4. Step 4: Simplify right side
    156,417.08x = 22,169,285,912.82
  5. Step 5: Solve for x
    x = 22,169,285,912.82/156,417.08
  6. Step 6: Final answer
    x = 141,731.87

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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.