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Finding the Fourth Proportional to 111,086, 153,298.68 and 60,785

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Solution

The fourth proportional to 111,086, 153,298.68 and 60,785 is: 83,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,086 : 153,298.68 = 60,785 : x
  2. Step 2: Convert to fraction form
    111,086/153,298.68 = 60,785/x
  3. Step 3: Cross multiply
    111,086x = 153,298.68 × 60,785
  4. Step 4: Simplify right side
    111,086x = 9,318,260,263.80
  5. Step 5: Solve for x
    x = 9,318,260,263.80/111,086
  6. Step 6: Final answer
    x = 83,883.30

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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.