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Finding the Fourth Proportional to 123,419.40, 185,129.10 and 40,321.80

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Solution

The fourth proportional to 123,419.40, 185,129.10 and 40,321.80 is: 60,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.40 : 185,129.10 = 40,321.80 : x
  2. Step 2: Convert to fraction form
    123,419.40/185,129.10 = 40,321.80/x
  3. Step 3: Cross multiply
    123,419.40x = 185,129.10 × 40,321.80
  4. Step 4: Simplify right side
    123,419.40x = 7,464,738,544.38
  5. Step 5: Solve for x
    x = 7,464,738,544.38/123,419.40
  6. Step 6: Final answer
    x = 60,482.70

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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.