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Finding the Fourth Proportional to 314,158.56, 471,306.96 and 148,132.32

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Solution

The fourth proportional to 314,158.56, 471,306.96 and 148,132.32 is: 222,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,158.56 : 471,306.96 = 148,132.32 : x
  2. Step 2: Convert to fraction form
    314,158.56/471,306.96 = 148,132.32/x
  3. Step 3: Cross multiply
    314,158.56x = 471,306.96 × 148,132.32
  4. Step 4: Simplify right side
    314,158.56x = 69,815,793,416.95
  5. Step 5: Solve for x
    x = 69,815,793,416.95/314,158.56
  6. Step 6: Final answer
    x = 222,231.07

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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.