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Finding the Fourth Proportional to 160,902, 222,044.76 and 89,293.56

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Solution

The fourth proportional to 160,902, 222,044.76 and 89,293.56 is: 123,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,902 : 222,044.76 = 89,293.56 : x
  2. Step 2: Convert to fraction form
    160,902/222,044.76 = 89,293.56/x
  3. Step 3: Cross multiply
    160,902x = 222,044.76 × 89,293.56
  4. Step 4: Simplify right side
    160,902x = 19,827,167,099.75
  5. Step 5: Solve for x
    x = 19,827,167,099.75/160,902
  6. Step 6: Final answer
    x = 123,225.11

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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.