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Finding the Fourth Proportional to 180,854.18, 249,584.94 and 100,277

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Solution

The fourth proportional to 180,854.18, 249,584.94 and 100,277 is: 138,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854.18 : 249,584.94 = 100,277 : x
  2. Step 2: Convert to fraction form
    180,854.18/249,584.94 = 100,277/x
  3. Step 3: Cross multiply
    180,854.18x = 249,584.94 × 100,277
  4. Step 4: Simplify right side
    180,854.18x = 25,027,629,028.38
  5. Step 5: Solve for x
    x = 25,027,629,028.38/180,854.18
  6. Step 6: Final answer
    x = 138,385.68

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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.