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Finding the Fourth Proportional to 157,531.86, 217,385.31 and 89,539.38

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Solution

The fourth proportional to 157,531.86, 217,385.31 and 89,539.38 is: 123,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,531.86 : 217,385.31 = 89,539.38 : x
  2. Step 2: Convert to fraction form
    157,531.86/217,385.31 = 89,539.38/x
  3. Step 3: Cross multiply
    157,531.86x = 217,385.31 × 89,539.38
  4. Step 4: Simplify right side
    157,531.86x = 19,464,545,878.51
  5. Step 5: Solve for x
    x = 19,464,545,878.51/157,531.86
  6. Step 6: Final answer
    x = 123,559.42

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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.