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Finding the Fourth Proportional to 316,141.64, 474,211.92 and 147,605.48

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Solution

The fourth proportional to 316,141.64, 474,211.92 and 147,605.48 is: 221,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,141.64 : 474,211.92 = 147,605.48 : x
  2. Step 2: Convert to fraction form
    316,141.64/474,211.92 = 147,605.48/x
  3. Step 3: Cross multiply
    316,141.64x = 474,211.92 × 147,605.48
  4. Step 4: Simplify right side
    316,141.64x = 69,996,278,073.32
  5. Step 5: Solve for x
    x = 69,996,278,073.32/316,141.64
  6. Step 6: Final answer
    x = 221,407.97

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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.