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Finding the Fourth Proportional to 182,562.60, 251,933.22 and 101,985

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Solution

The fourth proportional to 182,562.60, 251,933.22 and 101,985 is: 140,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,562.60 : 251,933.22 = 101,985 : x
  2. Step 2: Convert to fraction form
    182,562.60/251,933.22 = 101,985/x
  3. Step 3: Cross multiply
    182,562.60x = 251,933.22 × 101,985
  4. Step 4: Simplify right side
    182,562.60x = 25,693,409,441.70
  5. Step 5: Solve for x
    x = 25,693,409,441.70/182,562.60
  6. Step 6: Final answer
    x = 140,737.53

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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.