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Finding the Fourth Proportional to 174,082.50, 261,138.94 and 49,423.50

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Solution

The fourth proportional to 174,082.50, 261,138.94 and 49,423.50 is: 74,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,082.50 : 261,138.94 = 49,423.50 : x
  2. Step 2: Convert to fraction form
    174,082.50/261,138.94 = 49,423.50/x
  3. Step 3: Cross multiply
    174,082.50x = 261,138.94 × 49,423.50
  4. Step 4: Simplify right side
    174,082.50x = 12,906,400,277.53
  5. Step 5: Solve for x
    x = 12,906,400,277.53/174,082.50
  6. Step 6: Final answer
    x = 74,139.56

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1.5x scale

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.