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Finding the Fourth Proportional to 217,251.60, 325,877.40 and 146,749.20

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Solution

The fourth proportional to 217,251.60, 325,877.40 and 146,749.20 is: 220,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,251.60 : 325,877.40 = 146,749.20 : x
  2. Step 2: Convert to fraction form
    217,251.60/325,877.40 = 146,749.20/x
  3. Step 3: Cross multiply
    217,251.60x = 325,877.40 × 146,749.20
  4. Step 4: Simplify right side
    217,251.60x = 47,822,247,748.08
  5. Step 5: Solve for x
    x = 47,822,247,748.08/217,251.60
  6. Step 6: Final answer
    x = 220,123.80

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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.