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Finding the Fourth Proportional to 140,111.52, 193,343.72 and 76,448

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Solution

The fourth proportional to 140,111.52, 193,343.72 and 76,448 is: 105,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,111.52 : 193,343.72 = 76,448 : x
  2. Step 2: Convert to fraction form
    140,111.52/193,343.72 = 76,448/x
  3. Step 3: Cross multiply
    140,111.52x = 193,343.72 × 76,448
  4. Step 4: Simplify right side
    140,111.52x = 14,780,740,706.56
  5. Step 5: Solve for x
    x = 14,780,740,706.56/140,111.52
  6. Step 6: Final answer
    x = 105,492.69

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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.