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Finding the Fourth Proportional to 134,856, 202,293.72 and 51,750

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Solution

The fourth proportional to 134,856, 202,293.72 and 51,750 is: 77,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,856 : 202,293.72 = 51,750 : x
  2. Step 2: Convert to fraction form
    134,856/202,293.72 = 51,750/x
  3. Step 3: Cross multiply
    134,856x = 202,293.72 × 51,750
  4. Step 4: Simplify right side
    134,856x = 10,468,700,010
  5. Step 5: Solve for x
    x = 10,468,700,010/134,856
  6. Step 6: Final answer
    x = 77,628.73

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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.