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Finding the Fourth Proportional to 208,398.24, 312,597.36 and 138,414.24

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Solution

The fourth proportional to 208,398.24, 312,597.36 and 138,414.24 is: 207,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,398.24 : 312,597.36 = 138,414.24 : x
  2. Step 2: Convert to fraction form
    208,398.24/312,597.36 = 138,414.24/x
  3. Step 3: Cross multiply
    208,398.24x = 312,597.36 × 138,414.24
  4. Step 4: Simplify right side
    208,398.24x = 43,267,926,010.41
  5. Step 5: Solve for x
    x = 43,267,926,010.41/208,398.24
  6. Step 6: Final answer
    x = 207,621.36

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1.5x scale

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.