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Finding the Fourth Proportional to 189,854.33, 284,781.76 and 77,534.55

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Solution

The fourth proportional to 189,854.33, 284,781.76 and 77,534.55 is: 116,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,854.33 : 284,781.76 = 77,534.55 : x
  2. Step 2: Convert to fraction form
    189,854.33/284,781.76 = 77,534.55/x
  3. Step 3: Cross multiply
    189,854.33x = 284,781.76 × 77,534.55
  4. Step 4: Simplify right side
    189,854.33x = 22,080,425,415.97
  5. Step 5: Solve for x
    x = 22,080,425,415.97/189,854.33
  6. Step 6: Final answer
    x = 116,301.94

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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.