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Finding the Fourth Proportional to 103,950.40, 155,659.92 and 57,151.84

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Solution

The fourth proportional to 103,950.40, 155,659.92 and 57,151.84 is: 85,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950.40 : 155,659.92 = 57,151.84 : x
  2. Step 2: Convert to fraction form
    103,950.40/155,659.92 = 57,151.84/x
  3. Step 3: Cross multiply
    103,950.40x = 155,659.92 × 57,151.84
  4. Step 4: Simplify right side
    103,950.40x = 8,896,250,842.25
  5. Step 5: Solve for x
    x = 8,896,250,842.25/103,950.40
  6. Step 6: Final answer
    x = 85,581.69

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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.