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Finding the Fourth Proportional to 235,600.50, 353,514.15 and 117,282.18

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Solution

The fourth proportional to 235,600.50, 353,514.15 and 117,282.18 is: 175,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,600.50 : 353,514.15 = 117,282.18 : x
  2. Step 2: Convert to fraction form
    235,600.50/353,514.15 = 117,282.18/x
  3. Step 3: Cross multiply
    235,600.50x = 353,514.15 × 117,282.18
  4. Step 4: Simplify right side
    235,600.50x = 41,460,910,172.85
  5. Step 5: Solve for x
    x = 41,460,910,172.85/235,600.50
  6. Step 6: Final answer
    x = 175,979.72

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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.