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Finding the Fourth Proportional to 105,254.40, 158,270.40 and 88,147.20

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Solution

The fourth proportional to 105,254.40, 158,270.40 and 88,147.20 is: 132,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,254.40 : 158,270.40 = 88,147.20 : x
  2. Step 2: Convert to fraction form
    105,254.40/158,270.40 = 88,147.20/x
  3. Step 3: Cross multiply
    105,254.40x = 158,270.40 × 88,147.20
  4. Step 4: Simplify right side
    105,254.40x = 13,951,092,602.88
  5. Step 5: Solve for x
    x = 13,951,092,602.88/105,254.40
  6. Step 6: Final answer
    x = 132,546.41

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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.