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Finding the Fourth Proportional to 316,759.32, 475,142.63 and 106,397.28

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Solution

The fourth proportional to 316,759.32, 475,142.63 and 106,397.28 is: 159,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,759.32 : 475,142.63 = 106,397.28 : x
  2. Step 2: Convert to fraction form
    316,759.32/475,142.63 = 106,397.28/x
  3. Step 3: Cross multiply
    316,759.32x = 475,142.63 × 106,397.28
  4. Step 4: Simplify right side
    316,759.32x = 50,553,882,912.06
  5. Step 5: Solve for x
    x = 50,553,882,912.06/316,759.32
  6. Step 6: Final answer
    x = 159,597.14

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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.