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Finding the Fourth Proportional to 138,077.60, 190,453.38 and 89,592.89

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Solution

The fourth proportional to 138,077.60, 190,453.38 and 89,592.89 is: 123,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,077.60 : 190,453.38 = 89,592.89 : x
  2. Step 2: Convert to fraction form
    138,077.60/190,453.38 = 89,592.89/x
  3. Step 3: Cross multiply
    138,077.60x = 190,453.38 × 89,592.89
  4. Step 4: Simplify right side
    138,077.60x = 17,063,267,436.23
  5. Step 5: Solve for x
    x = 17,063,267,436.23/138,077.60
  6. Step 6: Final answer
    x = 123,577.38

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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.