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Finding the Fourth Proportional to 218,645.04, 301,731.84 and 123,142.80

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Solution

The fourth proportional to 218,645.04, 301,731.84 and 123,142.80 is: 169,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,645.04 : 301,731.84 = 123,142.80 : x
  2. Step 2: Convert to fraction form
    218,645.04/301,731.84 = 123,142.80/x
  3. Step 3: Cross multiply
    218,645.04x = 301,731.84 × 123,142.80
  4. Step 4: Simplify right side
    218,645.04x = 37,156,103,626.75
  5. Step 5: Solve for x
    x = 37,156,103,626.75/218,645.04
  6. Step 6: Final answer
    x = 169,938.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.