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Finding the Fourth Proportional to 217,433.70, 326,150.55 and 146,574.90

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Solution

The fourth proportional to 217,433.70, 326,150.55 and 146,574.90 is: 219,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,433.70 : 326,150.55 = 146,574.90 : x
  2. Step 2: Convert to fraction form
    217,433.70/326,150.55 = 146,574.90/x
  3. Step 3: Cross multiply
    217,433.70x = 326,150.55 × 146,574.90
  4. Step 4: Simplify right side
    217,433.70x = 47,805,484,251.20
  5. Step 5: Solve for x
    x = 47,805,484,251.20/217,433.70
  6. Step 6: Final answer
    x = 219,862.35

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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.