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Finding the Fourth Proportional to 134,870, 202,314.72 and 51,764

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Solution

The fourth proportional to 134,870, 202,314.72 and 51,764 is: 77,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,870 : 202,314.72 = 51,764 : x
  2. Step 2: Convert to fraction form
    134,870/202,314.72 = 51,764/x
  3. Step 3: Cross multiply
    134,870x = 202,314.72 × 51,764
  4. Step 4: Simplify right side
    134,870x = 10,472,619,166.08
  5. Step 5: Solve for x
    x = 10,472,619,166.08/134,870
  6. Step 6: Final answer
    x = 77,649.73

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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.