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Finding the Fourth Proportional to 288,082.60, 432,188.70 and 88,412.20

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Solution

The fourth proportional to 288,082.60, 432,188.70 and 88,412.20 is: 132,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.60 : 432,188.70 = 88,412.20 : x
  2. Step 2: Convert to fraction form
    288,082.60/432,188.70 = 88,412.20/x
  3. Step 3: Cross multiply
    288,082.60x = 432,188.70 × 88,412.20
  4. Step 4: Simplify right side
    288,082.60x = 38,210,753,782.14
  5. Step 5: Solve for x
    x = 38,210,753,782.14/288,082.60
  6. Step 6: Final answer
    x = 132,638.19

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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.