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Finding the Fourth Proportional to 224,440.50, 309,734.40 and 123,844.98

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Solution

The fourth proportional to 224,440.50, 309,734.40 and 123,844.98 is: 170,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,440.50 : 309,734.40 = 123,844.98 : x
  2. Step 2: Convert to fraction form
    224,440.50/309,734.40 = 123,844.98/x
  3. Step 3: Cross multiply
    224,440.50x = 309,734.40 × 123,844.98
  4. Step 4: Simplify right side
    224,440.50x = 38,359,050,573.31
  5. Step 5: Solve for x
    x = 38,359,050,573.31/224,440.50
  6. Step 6: Final answer
    x = 170,909.66

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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.