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Finding the Fourth Proportional to 153,692.80, 212,091.84 and 85,711.84

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Solution

The fourth proportional to 153,692.80, 212,091.84 and 85,711.84 is: 118,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,692.80 : 212,091.84 = 85,711.84 : x
  2. Step 2: Convert to fraction form
    153,692.80/212,091.84 = 85,711.84/x
  3. Step 3: Cross multiply
    153,692.80x = 212,091.84 × 85,711.84
  4. Step 4: Simplify right side
    153,692.80x = 18,178,781,855.39
  5. Step 5: Solve for x
    x = 18,178,781,855.39/153,692.80
  6. Step 6: Final answer
    x = 118,279.98

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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.