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Finding the Fourth Proportional to 224,430.50, 309,720.57 and 123,834.98

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Solution

The fourth proportional to 224,430.50, 309,720.57 and 123,834.98 is: 170,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.50 : 309,720.57 = 123,834.98 : x
  2. Step 2: Convert to fraction form
    224,430.50/309,720.57 = 123,834.98/x
  3. Step 3: Cross multiply
    224,430.50x = 309,720.57 × 123,834.98
  4. Step 4: Simplify right side
    224,430.50x = 38,354,240,591.54
  5. Step 5: Solve for x
    x = 38,354,240,591.54/224,430.50
  6. Step 6: Final answer
    x = 170,895.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.