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Finding the Fourth Proportional to 209,262.34, 288,755.85 and 141,426.87

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Solution

The fourth proportional to 209,262.34, 288,755.85 and 141,426.87 is: 195,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,262.34 : 288,755.85 = 141,426.87 : x
  2. Step 2: Convert to fraction form
    209,262.34/288,755.85 = 141,426.87/x
  3. Step 3: Cross multiply
    209,262.34x = 288,755.85 × 141,426.87
  4. Step 4: Simplify right side
    209,262.34x = 40,837,836,059.69
  5. Step 5: Solve for x
    x = 40,837,836,059.69/209,262.34
  6. Step 6: Final answer
    x = 195,151.39

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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.