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Finding the Fourth Proportional to 390,144.60, 585,233.10 and 123,897.60

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Solution

The fourth proportional to 390,144.60, 585,233.10 and 123,897.60 is: 185,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,144.60 : 585,233.10 = 123,897.60 : x
  2. Step 2: Convert to fraction form
    390,144.60/585,233.10 = 123,897.60/x
  3. Step 3: Cross multiply
    390,144.60x = 585,233.10 × 123,897.60
  4. Step 4: Simplify right side
    390,144.60x = 72,508,976,530.56
  5. Step 5: Solve for x
    x = 72,508,976,530.56/390,144.60
  6. Step 6: Final answer
    x = 185,851.54

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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.