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Finding the Fourth Proportional to 165,020, 227,731.68 and 89,568.32

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Solution

The fourth proportional to 165,020, 227,731.68 and 89,568.32 is: 123,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,020 : 227,731.68 = 89,568.32 : x
  2. Step 2: Convert to fraction form
    165,020/227,731.68 = 89,568.32/x
  3. Step 3: Cross multiply
    165,020x = 227,731.68 × 89,568.32
  4. Step 4: Simplify right side
    165,020x = 20,397,543,988.38
  5. Step 5: Solve for x
    x = 20,397,543,988.38/165,020
  6. Step 6: Final answer
    x = 123,606.50

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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.