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Finding the Fourth Proportional to 180,754.97, 249,456.78 and 100,207.76

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Solution

The fourth proportional to 180,754.97, 249,456.78 and 100,207.76 is: 138,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,754.97 : 249,456.78 = 100,207.76 : x
  2. Step 2: Convert to fraction form
    180,754.97/249,456.78 = 100,207.76/x
  3. Step 3: Cross multiply
    180,754.97x = 249,456.78 × 100,207.76
  4. Step 4: Simplify right side
    180,754.97x = 24,997,503,893.33
  5. Step 5: Solve for x
    x = 24,997,503,893.33/180,754.97
  6. Step 6: Final answer
    x = 138,294.98

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1.5x scale

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.