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Finding the Fourth Proportional to 224,049.90, 308,763.54 and 160,276.98

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Solution

The fourth proportional to 224,049.90, 308,763.54 and 160,276.98 is: 220,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,049.90 : 308,763.54 = 160,276.98 : x
  2. Step 2: Convert to fraction form
    224,049.90/308,763.54 = 160,276.98/x
  3. Step 3: Cross multiply
    224,049.90x = 308,763.54 × 160,276.98
  4. Step 4: Simplify right side
    224,049.90x = 49,487,687,725.31
  5. Step 5: Solve for x
    x = 49,487,687,725.31/224,049.90
  6. Step 6: Final answer
    x = 220,877.97

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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.