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Finding the Fourth Proportional to 180,398.52, 249,000 and 104,961.60

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Solution

The fourth proportional to 180,398.52, 249,000 and 104,961.60 is: 144,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,398.52 : 249,000 = 104,961.60 : x
  2. Step 2: Convert to fraction form
    180,398.52/249,000 = 104,961.60/x
  3. Step 3: Cross multiply
    180,398.52x = 249,000 × 104,961.60
  4. Step 4: Simplify right side
    180,398.52x = 26,135,438,400
  5. Step 5: Solve for x
    x = 26,135,438,400/180,398.52
  6. Step 6: Final answer
    x = 144,876.12

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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.