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Finding the Fourth Proportional to 183,149.72, 274,502.76 and 77,747.36

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Solution

The fourth proportional to 183,149.72, 274,502.76 and 77,747.36 is: 116,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,149.72 : 274,502.76 = 77,747.36 : x
  2. Step 2: Convert to fraction form
    183,149.72/274,502.76 = 77,747.36/x
  3. Step 3: Cross multiply
    183,149.72x = 274,502.76 × 77,747.36
  4. Step 4: Simplify right side
    183,149.72x = 21,341,864,902.71
  5. Step 5: Solve for x
    x = 21,341,864,902.71/183,149.72
  6. Step 6: Final answer
    x = 116,526.88

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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.