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Finding the Fourth Proportional to 135,470.16, 187,040.14 and 84,560.42

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Solution

The fourth proportional to 135,470.16, 187,040.14 and 84,560.42 is: 116,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,470.16 : 187,040.14 = 84,560.42 : x
  2. Step 2: Convert to fraction form
    135,470.16/187,040.14 = 84,560.42/x
  3. Step 3: Cross multiply
    135,470.16x = 187,040.14 × 84,560.42
  4. Step 4: Simplify right side
    135,470.16x = 15,816,192,795.26
  5. Step 5: Solve for x
    x = 15,816,192,795.26/135,470.16
  6. Step 6: Final answer
    x = 116,750.38

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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.