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Finding the Fourth Proportional to 292,419.20, 438,628.80 and 82,092.80

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Solution

The fourth proportional to 292,419.20, 438,628.80 and 82,092.80 is: 123,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,419.20 : 438,628.80 = 82,092.80 : x
  2. Step 2: Convert to fraction form
    292,419.20/438,628.80 = 82,092.80/x
  3. Step 3: Cross multiply
    292,419.20x = 438,628.80 × 82,092.80
  4. Step 4: Simplify right side
    292,419.20x = 36,008,266,352.64
  5. Step 5: Solve for x
    x = 36,008,266,352.64/292,419.20
  6. Step 6: Final answer
    x = 123,139.20

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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.