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Finding the Fourth Proportional to 137,049.32, 205,284.30 and 70,286.12

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Solution

The fourth proportional to 137,049.32, 205,284.30 and 70,286.12 is: 105,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,049.32 : 205,284.30 = 70,286.12 : x
  2. Step 2: Convert to fraction form
    137,049.32/205,284.30 = 70,286.12/x
  3. Step 3: Cross multiply
    137,049.32x = 205,284.30 × 70,286.12
  4. Step 4: Simplify right side
    137,049.32x = 14,428,636,943.92
  5. Step 5: Solve for x
    x = 14,428,636,943.92/137,049.32
  6. Step 6: Final answer
    x = 105,280.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.