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Finding the Fourth Proportional to 119,434.56, 164,816.10 and 65,719.68

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Solution

The fourth proportional to 119,434.56, 164,816.10 and 65,719.68 is: 90,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,434.56 : 164,816.10 = 65,719.68 : x
  2. Step 2: Convert to fraction form
    119,434.56/164,816.10 = 65,719.68/x
  3. Step 3: Cross multiply
    119,434.56x = 164,816.10 × 65,719.68
  4. Step 4: Simplify right side
    119,434.56x = 10,831,661,350.85
  5. Step 5: Solve for x
    x = 10,831,661,350.85/119,434.56
  6. Step 6: Final answer
    x = 90,691.18

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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.