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Finding the Fourth Proportional to 137,405.76, 206,069.76 and 62,484

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Solution

The fourth proportional to 137,405.76, 206,069.76 and 62,484 is: 93,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,405.76 : 206,069.76 = 62,484 : x
  2. Step 2: Convert to fraction form
    137,405.76/206,069.76 = 62,484/x
  3. Step 3: Cross multiply
    137,405.76x = 206,069.76 × 62,484
  4. Step 4: Simplify right side
    137,405.76x = 12,876,062,883.84
  5. Step 5: Solve for x
    x = 12,876,062,883.84/137,405.76
  6. Step 6: Final answer
    x = 93,708.32

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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.