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Finding the Fourth Proportional to 101,840.90, 140,541.68 and 56,523.32

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Solution

The fourth proportional to 101,840.90, 140,541.68 and 56,523.32 is: 78,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,840.90 : 140,541.68 = 56,523.32 : x
  2. Step 2: Convert to fraction form
    101,840.90/140,541.68 = 56,523.32/x
  3. Step 3: Cross multiply
    101,840.90x = 140,541.68 × 56,523.32
  4. Step 4: Simplify right side
    101,840.90x = 7,943,882,317.61
  5. Step 5: Solve for x
    x = 7,943,882,317.61/101,840.90
  6. Step 6: Final answer
    x = 78,002.87

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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.