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Finding the Fourth Proportional to 288,557.04, 432,857.31 and 86,137.16

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Solution

The fourth proportional to 288,557.04, 432,857.31 and 86,137.16 is: 129,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,557.04 : 432,857.31 = 86,137.16 : x
  2. Step 2: Convert to fraction form
    288,557.04/432,857.31 = 86,137.16/x
  3. Step 3: Cross multiply
    288,557.04x = 432,857.31 × 86,137.16
  4. Step 4: Simplify right side
    288,557.04x = 37,285,098,286.50
  5. Step 5: Solve for x
    x = 37,285,098,286.50/288,557.04
  6. Step 6: Final answer
    x = 129,212.23

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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.