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Finding the Fourth Proportional to 102,000.67, 140,758.12 and 56,677.49

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Solution

The fourth proportional to 102,000.67, 140,758.12 and 56,677.49 is: 78,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.67 : 140,758.12 = 56,677.49 : x
  2. Step 2: Convert to fraction form
    102,000.67/140,758.12 = 56,677.49/x
  3. Step 3: Cross multiply
    102,000.67x = 140,758.12 × 56,677.49
  4. Step 4: Simplify right side
    102,000.67x = 7,977,816,833.62
  5. Step 5: Solve for x
    x = 7,977,816,833.62/102,000.67
  6. Step 6: Final answer
    x = 78,213.38

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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.