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Finding the Fourth Proportional to 114,251.40, 171,377.10 and 35,389.80

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Solution

The fourth proportional to 114,251.40, 171,377.10 and 35,389.80 is: 53,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251.40 : 171,377.10 = 35,389.80 : x
  2. Step 2: Convert to fraction form
    114,251.40/171,377.10 = 35,389.80/x
  3. Step 3: Cross multiply
    114,251.40x = 171,377.10 × 35,389.80
  4. Step 4: Simplify right side
    114,251.40x = 6,065,001,293.58
  5. Step 5: Solve for x
    x = 6,065,001,293.58/114,251.40
  6. Step 6: Final answer
    x = 53,084.70

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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.