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Finding the Fourth Proportional to 101,782.65, 140,460.90 and 56,463.60

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Solution

The fourth proportional to 101,782.65, 140,460.90 and 56,463.60 is: 77,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.65 : 140,460.90 = 56,463.60 : x
  2. Step 2: Convert to fraction form
    101,782.65/140,460.90 = 56,463.60/x
  3. Step 3: Cross multiply
    101,782.65x = 140,460.90 × 56,463.60
  4. Step 4: Simplify right side
    101,782.65x = 7,930,928,073.24
  5. Step 5: Solve for x
    x = 7,930,928,073.24/101,782.65
  6. Step 6: Final answer
    x = 77,920.24

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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.