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Finding the Fourth Proportional to 135,764.48, 187,348.50 and 75,334.46

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Solution

The fourth proportional to 135,764.48, 187,348.50 and 75,334.46 is: 103,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,764.48 : 187,348.50 = 75,334.46 : x
  2. Step 2: Convert to fraction form
    135,764.48/187,348.50 = 75,334.46/x
  3. Step 3: Cross multiply
    135,764.48x = 187,348.50 × 75,334.46
  4. Step 4: Simplify right side
    135,764.48x = 14,113,798,079.31
  5. Step 5: Solve for x
    x = 14,113,798,079.31/135,764.48
  6. Step 6: Final answer
    x = 103,957.96

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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.