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Finding the Fourth Proportional to 142,366.82, 213,938.22 and 75,854.48

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Solution

The fourth proportional to 142,366.82, 213,938.22 and 75,854.48 is: 113,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,366.82 : 213,938.22 = 75,854.48 : x
  2. Step 2: Convert to fraction form
    142,366.82/213,938.22 = 75,854.48/x
  3. Step 3: Cross multiply
    142,366.82x = 213,938.22 × 75,854.48
  4. Step 4: Simplify right side
    142,366.82x = 16,228,172,430.23
  5. Step 5: Solve for x
    x = 16,228,172,430.23/142,366.82
  6. Step 6: Final answer
    x = 113,988.44

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1.5x scale

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.