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Finding the Fourth Proportional to 288,061.20, 432,034.20 and 138,301.20

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Solution

The fourth proportional to 288,061.20, 432,034.20 and 138,301.20 is: 207,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,061.20 : 432,034.20 = 138,301.20 : x
  2. Step 2: Convert to fraction form
    288,061.20/432,034.20 = 138,301.20/x
  3. Step 3: Cross multiply
    288,061.20x = 432,034.20 × 138,301.20
  4. Step 4: Simplify right side
    288,061.20x = 59,750,848,301.04
  5. Step 5: Solve for x
    x = 59,750,848,301.04/288,061.20
  6. Step 6: Final answer
    x = 207,424.15

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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.