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Finding the Fourth Proportional to 292,357.84, 438,500.31 and 82,012.18

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Solution

The fourth proportional to 292,357.84, 438,500.31 and 82,012.18 is: 123,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,357.84 : 438,500.31 = 82,012.18 : x
  2. Step 2: Convert to fraction form
    292,357.84/438,500.31 = 82,012.18/x
  3. Step 3: Cross multiply
    292,357.84x = 438,500.31 × 82,012.18
  4. Step 4: Simplify right side
    292,357.84x = 35,962,366,353.78
  5. Step 5: Solve for x
    x = 35,962,366,353.78/292,357.84
  6. Step 6: Final answer
    x = 123,008.05

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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.