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Finding the Fourth Proportional to 138,853.60, 208,231.80 and 72,271.60

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Solution

The fourth proportional to 138,853.60, 208,231.80 and 72,271.60 is: 108,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.60 : 208,231.80 = 72,271.60 : x
  2. Step 2: Convert to fraction form
    138,853.60/208,231.80 = 72,271.60/x
  3. Step 3: Cross multiply
    138,853.60x = 208,231.80 × 72,271.60
  4. Step 4: Simplify right side
    138,853.60x = 15,049,245,356.88
  5. Step 5: Solve for x
    x = 15,049,245,356.88/138,853.60
  6. Step 6: Final answer
    x = 108,382.10

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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.