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Finding the Fourth Proportional to 288,780.82, 433,142.67 and 89,047.30

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Solution

The fourth proportional to 288,780.82, 433,142.67 and 89,047.30 is: 133,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,780.82 : 433,142.67 = 89,047.30 : x
  2. Step 2: Convert to fraction form
    288,780.82/433,142.67 = 89,047.30/x
  3. Step 3: Cross multiply
    288,780.82x = 433,142.67 × 89,047.30
  4. Step 4: Simplify right side
    288,780.82x = 38,570,185,278.29
  5. Step 5: Solve for x
    x = 38,570,185,278.29/288,780.82
  6. Step 6: Final answer
    x = 133,562.14

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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.