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Finding the Fourth Proportional to 101,736.75, 140,398.41 and 56,416.65

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Solution

The fourth proportional to 101,736.75, 140,398.41 and 56,416.65 is: 77,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736.75 : 140,398.41 = 56,416.65 : x
  2. Step 2: Convert to fraction form
    101,736.75/140,398.41 = 56,416.65/x
  3. Step 3: Cross multiply
    101,736.75x = 140,398.41 × 56,416.65
  4. Step 4: Simplify right side
    101,736.75x = 7,920,807,957.53
  5. Step 5: Solve for x
    x = 7,920,807,957.53/101,736.75
  6. Step 6: Final answer
    x = 77,855.92

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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.