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Finding the Fourth Proportional to 205,034.70, 307,552.05 and 144,900.30

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Solution

The fourth proportional to 205,034.70, 307,552.05 and 144,900.30 is: 217,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.70 : 307,552.05 = 144,900.30 : x
  2. Step 2: Convert to fraction form
    205,034.70/307,552.05 = 144,900.30/x
  3. Step 3: Cross multiply
    205,034.70x = 307,552.05 × 144,900.30
  4. Step 4: Simplify right side
    205,034.70x = 44,564,384,310.62
  5. Step 5: Solve for x
    x = 44,564,384,310.62/205,034.70
  6. Step 6: Final answer
    x = 217,350.45

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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.