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Finding the Fourth Proportional to 102,217.66, 141,060.38 and 56,894.66

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Solution

The fourth proportional to 102,217.66, 141,060.38 and 56,894.66 is: 78,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,217.66 : 141,060.38 = 56,894.66 : x
  2. Step 2: Convert to fraction form
    102,217.66/141,060.38 = 56,894.66/x
  3. Step 3: Cross multiply
    102,217.66x = 141,060.38 × 56,894.66
  4. Step 4: Simplify right side
    102,217.66x = 8,025,582,692.24
  5. Step 5: Solve for x
    x = 8,025,582,692.24/102,217.66
  6. Step 6: Final answer
    x = 78,514.64

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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.