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Finding the Fourth Proportional to 316,712.36, 475,084.82 and 80,057.04

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Solution

The fourth proportional to 316,712.36, 475,084.82 and 80,057.04 is: 120,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,712.36 : 475,084.82 = 80,057.04 : x
  2. Step 2: Convert to fraction form
    316,712.36/475,084.82 = 80,057.04/x
  3. Step 3: Cross multiply
    316,712.36x = 475,084.82 × 80,057.04
  4. Step 4: Simplify right side
    316,712.36x = 38,033,884,438.13
  5. Step 5: Solve for x
    x = 38,033,884,438.13/316,712.36
  6. Step 6: Final answer
    x = 120,089.68

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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.