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Finding the Fourth Proportional to 283,753.19, 391,582.13 and 156,433.34

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Solution

The fourth proportional to 283,753.19, 391,582.13 and 156,433.34 is: 215,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,753.19 : 391,582.13 = 156,433.34 : x
  2. Step 2: Convert to fraction form
    283,753.19/391,582.13 = 156,433.34/x
  3. Step 3: Cross multiply
    283,753.19x = 391,582.13 × 156,433.34
  4. Step 4: Simplify right side
    283,753.19x = 61,256,500,480.21
  5. Step 5: Solve for x
    x = 61,256,500,480.21/283,753.19
  6. Step 6: Final answer
    x = 215,879.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.