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Finding the Fourth Proportional to 180,868.57, 249,310.97 and 142,566

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Solution

The fourth proportional to 180,868.57, 249,310.97 and 142,566 is: 196,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,868.57 : 249,310.97 = 142,566 : x
  2. Step 2: Convert to fraction form
    180,868.57/249,310.97 = 142,566/x
  3. Step 3: Cross multiply
    180,868.57x = 249,310.97 × 142,566
  4. Step 4: Simplify right side
    180,868.57x = 35,543,267,749.02
  5. Step 5: Solve for x
    x = 35,543,267,749.02/180,868.57
  6. Step 6: Final answer
    x = 196,514.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.