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Finding the Fourth Proportional to 185,663.88, 278,510.54 and 52,544.97

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Solution

The fourth proportional to 185,663.88, 278,510.54 and 52,544.97 is: 78,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,663.88 : 278,510.54 = 52,544.97 : x
  2. Step 2: Convert to fraction form
    185,663.88/278,510.54 = 52,544.97/x
  3. Step 3: Cross multiply
    185,663.88x = 278,510.54 × 52,544.97
  4. Step 4: Simplify right side
    185,663.88x = 14,634,327,706.26
  5. Step 5: Solve for x
    x = 14,634,327,706.26/185,663.88
  6. Step 6: Final answer
    x = 78,821.62

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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.