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Finding the Fourth Proportional to 229,657.68, 344,496.24 and 140,855.76

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Solution

The fourth proportional to 229,657.68, 344,496.24 and 140,855.76 is: 211,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,657.68 : 344,496.24 = 140,855.76 : x
  2. Step 2: Convert to fraction form
    229,657.68/344,496.24 = 140,855.76/x
  3. Step 3: Cross multiply
    229,657.68x = 344,496.24 × 140,855.76
  4. Step 4: Simplify right side
    229,657.68x = 48,524,279,702.34
  5. Step 5: Solve for x
    x = 48,524,279,702.34/229,657.68
  6. Step 6: Final answer
    x = 211,289.60

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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.