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Finding the Fourth Proportional to 235,706.22, 353,559.33 and 194,065.74

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Solution

The fourth proportional to 235,706.22, 353,559.33 and 194,065.74 is: 291,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,706.22 : 353,559.33 = 194,065.74 : x
  2. Step 2: Convert to fraction form
    235,706.22/353,559.33 = 194,065.74/x
  3. Step 3: Cross multiply
    235,706.22x = 353,559.33 × 194,065.74
  4. Step 4: Simplify right side
    235,706.22x = 68,613,753,010.35
  5. Step 5: Solve for x
    x = 68,613,753,010.35/235,706.22
  6. Step 6: Final answer
    x = 291,098.61

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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.