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Finding the Fourth Proportional to 102,063.16, 140,850.22 and 56,120.42

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Solution

The fourth proportional to 102,063.16, 140,850.22 and 56,120.42 is: 77,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.16 : 140,850.22 = 56,120.42 : x
  2. Step 2: Convert to fraction form
    102,063.16/140,850.22 = 56,120.42/x
  3. Step 3: Cross multiply
    102,063.16x = 140,850.22 × 56,120.42
  4. Step 4: Simplify right side
    102,063.16x = 7,904,574,295.09
  5. Step 5: Solve for x
    x = 7,904,574,295.09/102,063.16
  6. Step 6: Final answer
    x = 77,447.87

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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.