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Finding the Fourth Proportional to 83,188, 124,856.88 and 56,469.28

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Solution

The fourth proportional to 83,188, 124,856.88 and 56,469.28 is: 84,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188 : 124,856.88 = 56,469.28 : x
  2. Step 2: Convert to fraction form
    83,188/124,856.88 = 56,469.28/x
  3. Step 3: Cross multiply
    83,188x = 124,856.88 × 56,469.28
  4. Step 4: Simplify right side
    83,188x = 7,050,578,116.65
  5. Step 5: Solve for x
    x = 7,050,578,116.65/83,188
  6. Step 6: Final answer
    x = 84,754.75

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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.