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Finding the Fourth Proportional to 159,753, 220,459.14 and 89,097

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Solution

The fourth proportional to 159,753, 220,459.14 and 89,097 is: 122,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,753 : 220,459.14 = 89,097 : x
  2. Step 2: Convert to fraction form
    159,753/220,459.14 = 89,097/x
  3. Step 3: Cross multiply
    159,753x = 220,459.14 × 89,097
  4. Step 4: Simplify right side
    159,753x = 19,642,247,996.58
  5. Step 5: Solve for x
    x = 19,642,247,996.58/159,753
  6. Step 6: Final answer
    x = 122,953.86

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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.