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Finding the Fourth Proportional to 94,228.80, 141,343.20 and 83,731.20

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Solution

The fourth proportional to 94,228.80, 141,343.20 and 83,731.20 is: 125,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,228.80 : 141,343.20 = 83,731.20 : x
  2. Step 2: Convert to fraction form
    94,228.80/141,343.20 = 83,731.20/x
  3. Step 3: Cross multiply
    94,228.80x = 141,343.20 × 83,731.20
  4. Step 4: Simplify right side
    94,228.80x = 11,834,835,747.84
  5. Step 5: Solve for x
    x = 11,834,835,747.84/94,228.80
  6. Step 6: Final answer
    x = 125,596.80

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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.