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Finding the Fourth Proportional to 151,841.94, 227,901.96 and 77,013.78

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Solution

The fourth proportional to 151,841.94, 227,901.96 and 77,013.78 is: 115,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,841.94 : 227,901.96 = 77,013.78 : x
  2. Step 2: Convert to fraction form
    151,841.94/227,901.96 = 77,013.78/x
  3. Step 3: Cross multiply
    151,841.94x = 227,901.96 × 77,013.78
  4. Step 4: Simplify right side
    151,841.94x = 17,551,591,409.01
  5. Step 5: Solve for x
    x = 17,551,591,409.01/151,841.94
  6. Step 6: Final answer
    x = 115,591.20

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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.