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Finding the Fourth Proportional to 134,123.60, 200,893.80 and 81,441.20

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Solution

The fourth proportional to 134,123.60, 200,893.80 and 81,441.20 is: 121,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,123.60 : 200,893.80 = 81,441.20 : x
  2. Step 2: Convert to fraction form
    134,123.60/200,893.80 = 81,441.20/x
  3. Step 3: Cross multiply
    134,123.60x = 200,893.80 × 81,441.20
  4. Step 4: Simplify right side
    134,123.60x = 16,361,032,144.56
  5. Step 5: Solve for x
    x = 16,361,032,144.56/134,123.60
  6. Step 6: Final answer
    x = 121,984.74

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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.