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Finding the Fourth Proportional to 376,462.10, 564,693.15 and 127,144.10

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Solution

The fourth proportional to 376,462.10, 564,693.15 and 127,144.10 is: 190,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,462.10 : 564,693.15 = 127,144.10 : x
  2. Step 2: Convert to fraction form
    376,462.10/564,693.15 = 127,144.10/x
  3. Step 3: Cross multiply
    376,462.10x = 564,693.15 × 127,144.10
  4. Step 4: Simplify right side
    376,462.10x = 71,797,402,332.92
  5. Step 5: Solve for x
    x = 71,797,402,332.92/376,462.10
  6. Step 6: Final answer
    x = 190,716.15

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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.