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Finding the Fourth Proportional to 283,877.25, 391,737.40 and 162,933.41

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Solution

The fourth proportional to 283,877.25, 391,737.40 and 162,933.41 is: 224,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,877.25 : 391,737.40 = 162,933.41 : x
  2. Step 2: Convert to fraction form
    283,877.25/391,737.40 = 162,933.41/x
  3. Step 3: Cross multiply
    283,877.25x = 391,737.40 × 162,933.41
  4. Step 4: Simplify right side
    283,877.25x = 63,827,110,406.53
  5. Step 5: Solve for x
    x = 63,827,110,406.53/283,877.25
  6. Step 6: Final answer
    x = 224,840.53

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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.