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Finding the Fourth Proportional to 164,706.16, 227,294.48 and 89,254.66

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Solution

The fourth proportional to 164,706.16, 227,294.48 and 89,254.66 is: 123,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706.16 : 227,294.48 = 89,254.66 : x
  2. Step 2: Convert to fraction form
    164,706.16/227,294.48 = 89,254.66/x
  3. Step 3: Cross multiply
    164,706.16x = 227,294.48 × 89,254.66
  4. Step 4: Simplify right side
    164,706.16x = 20,287,091,532.28
  5. Step 5: Solve for x
    x = 20,287,091,532.28/164,706.16
  6. Step 6: Final answer
    x = 123,171.42

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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.