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Finding the Fourth Proportional to 177,954.61, 245,577.39 and 97,382.15

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Solution

The fourth proportional to 177,954.61, 245,577.39 and 97,382.15 is: 134,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,954.61 : 245,577.39 = 97,382.15 : x
  2. Step 2: Convert to fraction form
    177,954.61/245,577.39 = 97,382.15/x
  3. Step 3: Cross multiply
    177,954.61x = 245,577.39 × 97,382.15
  4. Step 4: Simplify right side
    177,954.61x = 23,914,854,229.59
  5. Step 5: Solve for x
    x = 23,914,854,229.59/177,954.61
  6. Step 6: Final answer
    x = 134,387.38

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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.