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Finding the Fourth Proportional to 113,162.78, 169,583.25 and 83,346.14

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Solution

The fourth proportional to 113,162.78, 169,583.25 and 83,346.14 is: 124,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,162.78 : 169,583.25 = 83,346.14 : x
  2. Step 2: Convert to fraction form
    113,162.78/169,583.25 = 83,346.14/x
  3. Step 3: Cross multiply
    113,162.78x = 169,583.25 × 83,346.14
  4. Step 4: Simplify right side
    113,162.78x = 14,134,109,296.16
  5. Step 5: Solve for x
    x = 14,134,109,296.16/113,162.78
  6. Step 6: Final answer
    x = 124,900.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.