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Finding the Fourth Proportional to 390,123.60, 585,201.60 and 123,876.60

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Solution

The fourth proportional to 390,123.60, 585,201.60 and 123,876.60 is: 185,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,123.60 : 585,201.60 = 123,876.60 : x
  2. Step 2: Convert to fraction form
    390,123.60/585,201.60 = 123,876.60/x
  3. Step 3: Cross multiply
    390,123.60x = 585,201.60 × 123,876.60
  4. Step 4: Simplify right side
    390,123.60x = 72,492,784,522.56
  5. Step 5: Solve for x
    x = 72,492,784,522.56/390,123.60
  6. Step 6: Final answer
    x = 185,820.04

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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.