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Finding the Fourth Proportional to 287,887.32, 431,892.94 and 88,221.50

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Solution

The fourth proportional to 287,887.32, 431,892.94 and 88,221.50 is: 132,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,887.32 : 431,892.94 = 88,221.50 : x
  2. Step 2: Convert to fraction form
    287,887.32/431,892.94 = 88,221.50/x
  3. Step 3: Cross multiply
    287,887.32x = 431,892.94 × 88,221.50
  4. Step 4: Simplify right side
    287,887.32x = 38,102,243,006.21
  5. Step 5: Solve for x
    x = 38,102,243,006.21/287,887.32
  6. Step 6: Final answer
    x = 132,351.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.