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Finding the Fourth Proportional to 82,470.40, 123,559.80 and 73,139.20

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Solution

The fourth proportional to 82,470.40, 123,559.80 and 73,139.20 is: 109,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470.40 : 123,559.80 = 73,139.20 : x
  2. Step 2: Convert to fraction form
    82,470.40/123,559.80 = 73,139.20/x
  3. Step 3: Cross multiply
    82,470.40x = 123,559.80 × 73,139.20
  4. Step 4: Simplify right side
    82,470.40x = 9,037,064,924.16
  5. Step 5: Solve for x
    x = 9,037,064,924.16/82,470.40
  6. Step 6: Final answer
    x = 109,579.50

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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.