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Finding the Fourth Proportional to 133,023.81, 183,565.47 and 75,655.38

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Solution

The fourth proportional to 133,023.81, 183,565.47 and 75,655.38 is: 104,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023.81 : 183,565.47 = 75,655.38 : x
  2. Step 2: Convert to fraction form
    133,023.81/183,565.47 = 75,655.38/x
  3. Step 3: Cross multiply
    133,023.81x = 183,565.47 × 75,655.38
  4. Step 4: Simplify right side
    133,023.81x = 13,887,715,387.73
  5. Step 5: Solve for x
    x = 13,887,715,387.73/133,023.81
  6. Step 6: Final answer
    x = 104,400.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.