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Finding the Fourth Proportional to 180,282.70, 270,468.33 and 61,955.74

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Solution

The fourth proportional to 180,282.70, 270,468.33 and 61,955.74 is: 92,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,282.70 : 270,468.33 = 61,955.74 : x
  2. Step 2: Convert to fraction form
    180,282.70/270,468.33 = 61,955.74/x
  3. Step 3: Cross multiply
    180,282.70x = 270,468.33 × 61,955.74
  4. Step 4: Simplify right side
    180,282.70x = 16,757,065,531.71
  5. Step 5: Solve for x
    x = 16,757,065,531.71/180,282.70
  6. Step 6: Final answer
    x = 92,948.83

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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.