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Finding the Fourth Proportional to 105,822.72, 158,613.12 and 43,416

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Solution

The fourth proportional to 105,822.72, 158,613.12 and 43,416 is: 65,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,822.72 : 158,613.12 = 43,416 : x
  2. Step 2: Convert to fraction form
    105,822.72/158,613.12 = 43,416/x
  3. Step 3: Cross multiply
    105,822.72x = 158,613.12 × 43,416
  4. Step 4: Simplify right side
    105,822.72x = 6,886,347,217.92
  5. Step 5: Solve for x
    x = 6,886,347,217.92/105,822.72
  6. Step 6: Final answer
    x = 65,074.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.