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Finding the Fourth Proportional to 149,713.80, 224,570.70 and 70,981.80

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Solution

The fourth proportional to 149,713.80, 224,570.70 and 70,981.80 is: 106,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713.80 : 224,570.70 = 70,981.80 : x
  2. Step 2: Convert to fraction form
    149,713.80/224,570.70 = 70,981.80/x
  3. Step 3: Cross multiply
    149,713.80x = 224,570.70 × 70,981.80
  4. Step 4: Simplify right side
    149,713.80x = 15,940,432,513.26
  5. Step 5: Solve for x
    x = 15,940,432,513.26/149,713.80
  6. Step 6: Final answer
    x = 106,472.70

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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.