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Finding the Fourth Proportional to 123,771.80, 185,657.70 and 73,252.10

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Solution

The fourth proportional to 123,771.80, 185,657.70 and 73,252.10 is: 109,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,771.80 : 185,657.70 = 73,252.10 : x
  2. Step 2: Convert to fraction form
    123,771.80/185,657.70 = 73,252.10/x
  3. Step 3: Cross multiply
    123,771.80x = 185,657.70 × 73,252.10
  4. Step 4: Simplify right side
    123,771.80x = 13,599,816,406.17
  5. Step 5: Solve for x
    x = 13,599,816,406.17/123,771.80
  6. Step 6: Final answer
    x = 109,878.15

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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.