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Finding the Fourth Proportional to 155,761.58, 214,950.71 and 84,141.38

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Solution

The fourth proportional to 155,761.58, 214,950.71 and 84,141.38 is: 116,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,761.58 : 214,950.71 = 84,141.38 : x
  2. Step 2: Convert to fraction form
    155,761.58/214,950.71 = 84,141.38/x
  3. Step 3: Cross multiply
    155,761.58x = 214,950.71 × 84,141.38
  4. Step 4: Simplify right side
    155,761.58x = 18,086,250,119.11
  5. Step 5: Solve for x
    x = 18,086,250,119.11/155,761.58
  6. Step 6: Final answer
    x = 116,114.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.