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Finding the Fourth Proportional to 134,761.60, 202,166.70 and 55,883.80

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Solution

The fourth proportional to 134,761.60, 202,166.70 and 55,883.80 is: 83,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,761.60 : 202,166.70 = 55,883.80 : x
  2. Step 2: Convert to fraction form
    134,761.60/202,166.70 = 55,883.80/x
  3. Step 3: Cross multiply
    134,761.60x = 202,166.70 × 55,883.80
  4. Step 4: Simplify right side
    134,761.60x = 11,297,843,429.46
  5. Step 5: Solve for x
    x = 11,297,843,429.46/134,761.60
  6. Step 6: Final answer
    x = 83,835.78

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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.