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Finding the Fourth Proportional to 142,546.77, 213,985.80 and 83,424.87

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Solution

The fourth proportional to 142,546.77, 213,985.80 and 83,424.87 is: 125,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,546.77 : 213,985.80 = 83,424.87 : x
  2. Step 2: Convert to fraction form
    142,546.77/213,985.80 = 83,424.87/x
  3. Step 3: Cross multiply
    142,546.77x = 213,985.80 × 83,424.87
  4. Step 4: Simplify right side
    142,546.77x = 17,851,737,546.85
  5. Step 5: Solve for x
    x = 17,851,737,546.85/142,546.77
  6. Step 6: Final answer
    x = 125,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.