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Finding the Fourth Proportional to 157,582.71, 217,467.23 and 85,965.39

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Solution

The fourth proportional to 157,582.71, 217,467.23 and 85,965.39 is: 118,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,582.71 : 217,467.23 = 85,965.39 : x
  2. Step 2: Convert to fraction form
    157,582.71/217,467.23 = 85,965.39/x
  3. Step 3: Cross multiply
    157,582.71x = 217,467.23 × 85,965.39
  4. Step 4: Simplify right side
    157,582.71x = 18,694,654,809.34
  5. Step 5: Solve for x
    x = 18,694,654,809.34/157,582.71
  6. Step 6: Final answer
    x = 118,633.92

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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.