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Finding the Fourth Proportional to 200,744.70, 301,117.05 and 121,883.10

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Solution

The fourth proportional to 200,744.70, 301,117.05 and 121,883.10 is: 182,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.70 : 301,117.05 = 121,883.10 : x
  2. Step 2: Convert to fraction form
    200,744.70/301,117.05 = 121,883.10/x
  3. Step 3: Cross multiply
    200,744.70x = 301,117.05 × 121,883.10
  4. Step 4: Simplify right side
    200,744.70x = 36,701,079,516.86
  5. Step 5: Solve for x
    x = 36,701,079,516.86/200,744.70
  6. Step 6: Final answer
    x = 182,824.65

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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.