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Finding the Fourth Proportional to 144,094.88, 198,893.17 and 83,692.68

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Solution

The fourth proportional to 144,094.88, 198,893.17 and 83,692.68 is: 115,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,094.88 : 198,893.17 = 83,692.68 : x
  2. Step 2: Convert to fraction form
    144,094.88/198,893.17 = 83,692.68/x
  3. Step 3: Cross multiply
    144,094.88x = 198,893.17 × 83,692.68
  4. Step 4: Simplify right side
    144,094.88x = 16,645,901,018.07
  5. Step 5: Solve for x
    x = 16,645,901,018.07/144,094.88
  6. Step 6: Final answer
    x = 115,520.42

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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.