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Finding the Fourth Proportional to 180,882, 249,617.16 and 101,394

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Solution

The fourth proportional to 180,882, 249,617.16 and 101,394 is: 139,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,882 : 249,617.16 = 101,394 : x
  2. Step 2: Convert to fraction form
    180,882/249,617.16 = 101,394/x
  3. Step 3: Cross multiply
    180,882x = 249,617.16 × 101,394
  4. Step 4: Simplify right side
    180,882x = 25,309,682,321.04
  5. Step 5: Solve for x
    x = 25,309,682,321.04/180,882
  6. Step 6: Final answer
    x = 139,923.72

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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.