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Finding the Fourth Proportional to 200,722.70, 301,084.05 and 197,612.30

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Solution

The fourth proportional to 200,722.70, 301,084.05 and 197,612.30 is: 296,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.70 : 301,084.05 = 197,612.30 : x
  2. Step 2: Convert to fraction form
    200,722.70/301,084.05 = 197,612.30/x
  3. Step 3: Cross multiply
    200,722.70x = 301,084.05 × 197,612.30
  4. Step 4: Simplify right side
    200,722.70x = 59,497,911,613.82
  5. Step 5: Solve for x
    x = 59,497,911,613.82/200,722.70
  6. Step 6: Final answer
    x = 296,418.45

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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.