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Finding the Fourth Proportional to 92,164.40, 137,987.40 and 82,833.20

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Solution

The fourth proportional to 92,164.40, 137,987.40 and 82,833.20 is: 124,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,164.40 : 137,987.40 = 82,833.20 : x
  2. Step 2: Convert to fraction form
    92,164.40/137,987.40 = 82,833.20/x
  3. Step 3: Cross multiply
    92,164.40x = 137,987.40 × 82,833.20
  4. Step 4: Simplify right side
    92,164.40x = 11,429,937,901.68
  5. Step 5: Solve for x
    x = 11,429,937,901.68/92,164.40
  6. Step 6: Final answer
    x = 124,016.84

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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.