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Finding the Fourth Proportional to 112,446.24, 155,169.72 and 62,142

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Solution

The fourth proportional to 112,446.24, 155,169.72 and 62,142 is: 85,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,446.24 : 155,169.72 = 62,142 : x
  2. Step 2: Convert to fraction form
    112,446.24/155,169.72 = 62,142/x
  3. Step 3: Cross multiply
    112,446.24x = 155,169.72 × 62,142
  4. Step 4: Simplify right side
    112,446.24x = 9,642,556,740.24
  5. Step 5: Solve for x
    x = 9,642,556,740.24/112,446.24
  6. Step 6: Final answer
    x = 85,752.59

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