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Finding the Fourth Proportional to 135,616.61, 187,156.85 and 75,183.41

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Solution

The fourth proportional to 135,616.61, 187,156.85 and 75,183.41 is: 103,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,616.61 : 187,156.85 = 75,183.41 : x
  2. Step 2: Convert to fraction form
    135,616.61/187,156.85 = 75,183.41/x
  3. Step 3: Cross multiply
    135,616.61x = 187,156.85 × 75,183.41
  4. Step 4: Simplify right side
    135,616.61x = 14,071,090,279.83
  5. Step 5: Solve for x
    x = 14,071,090,279.83/135,616.61
  6. Step 6: Final answer
    x = 103,756.39

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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.