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Finding the Fourth Proportional to 229,206.70, 344,197.80 and 149,380.30

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Solution

The fourth proportional to 229,206.70, 344,197.80 and 149,380.30 is: 224,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,206.70 : 344,197.80 = 149,380.30 : x
  2. Step 2: Convert to fraction form
    229,206.70/344,197.80 = 149,380.30/x
  3. Step 3: Cross multiply
    229,206.70x = 344,197.80 × 149,380.30
  4. Step 4: Simplify right side
    229,206.70x = 51,416,370,623.34
  5. Step 5: Solve for x
    x = 51,416,370,623.34/229,206.70
  6. Step 6: Final answer
    x = 224,323.16

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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.