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Finding the Fourth Proportional to 94,235.80, 141,353.70 and 83,738.20

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Solution

The fourth proportional to 94,235.80, 141,353.70 and 83,738.20 is: 125,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,235.80 : 141,353.70 = 83,738.20 : x
  2. Step 2: Convert to fraction form
    94,235.80/141,353.70 = 83,738.20/x
  3. Step 3: Cross multiply
    94,235.80x = 141,353.70 × 83,738.20
  4. Step 4: Simplify right side
    94,235.80x = 11,836,704,401.34
  5. Step 5: Solve for x
    x = 11,836,704,401.34/94,235.80
  6. Step 6: Final answer
    x = 125,607.30

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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.