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Finding the Fourth Proportional to 301,253.91, 451,565.51 and 101,505.27

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Solution

The fourth proportional to 301,253.91, 451,565.51 and 101,505.27 is: 152,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,253.91 : 451,565.51 = 101,505.27 : x
  2. Step 2: Convert to fraction form
    301,253.91/451,565.51 = 101,505.27/x
  3. Step 3: Cross multiply
    301,253.91x = 451,565.51 × 101,505.27
  4. Step 4: Simplify right side
    301,253.91x = 45,836,278,507.71
  5. Step 5: Solve for x
    x = 45,836,278,507.71/301,253.91
  6. Step 6: Final answer
    x = 152,151.65

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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.