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Finding the Fourth Proportional to 165,152.40, 227,910 and 89,700.72

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Solution

The fourth proportional to 165,152.40, 227,910 and 89,700.72 is: 123,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,152.40 : 227,910 = 89,700.72 : x
  2. Step 2: Convert to fraction form
    165,152.40/227,910 = 89,700.72/x
  3. Step 3: Cross multiply
    165,152.40x = 227,910 × 89,700.72
  4. Step 4: Simplify right side
    165,152.40x = 20,443,691,095.20
  5. Step 5: Solve for x
    x = 20,443,691,095.20/165,152.40
  6. Step 6: Final answer
    x = 123,786.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.