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Finding the Fourth Proportional to 137,050.32, 205,285.80 and 70,287.12

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Solution

The fourth proportional to 137,050.32, 205,285.80 and 70,287.12 is: 105,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,050.32 : 205,285.80 = 70,287.12 : x
  2. Step 2: Convert to fraction form
    137,050.32/205,285.80 = 70,287.12/x
  3. Step 3: Cross multiply
    137,050.32x = 205,285.80 × 70,287.12
  4. Step 4: Simplify right side
    137,050.32x = 14,428,947,658.90
  5. Step 5: Solve for x
    x = 14,428,947,658.90/137,050.32
  6. Step 6: Final answer
    x = 105,282.12

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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.