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Finding the Fourth Proportional to 390,123.64, 585,125.68 and 123,849.64

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Solution

The fourth proportional to 390,123.64, 585,125.68 and 123,849.64 is: 185,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,123.64 : 585,125.68 = 123,849.64 : x
  2. Step 2: Convert to fraction form
    390,123.64/585,125.68 = 123,849.64/x
  3. Step 3: Cross multiply
    390,123.64x = 585,125.68 × 123,849.64
  4. Step 4: Simplify right side
    390,123.64x = 72,467,604,822.76
  5. Step 5: Solve for x
    x = 72,467,604,822.76/390,123.64
  6. Step 6: Final answer
    x = 185,755.48

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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.