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Finding the Fourth Proportional to 200,095.20, 299,778.30 and 158,250.60

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Solution

The fourth proportional to 200,095.20, 299,778.30 and 158,250.60 is: 237,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,095.20 : 299,778.30 = 158,250.60 : x
  2. Step 2: Convert to fraction form
    200,095.20/299,778.30 = 158,250.60/x
  3. Step 3: Cross multiply
    200,095.20x = 299,778.30 × 158,250.60
  4. Step 4: Simplify right side
    200,095.20x = 47,440,095,841.98
  5. Step 5: Solve for x
    x = 47,440,095,841.98/200,095.20
  6. Step 6: Final answer
    x = 237,087.63

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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.