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Finding the Fourth Proportional to 102,701.52, 154,013.40 and 40,338

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Solution

The fourth proportional to 102,701.52, 154,013.40 and 40,338 is: 60,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,701.52 : 154,013.40 = 40,338 : x
  2. Step 2: Convert to fraction form
    102,701.52/154,013.40 = 40,338/x
  3. Step 3: Cross multiply
    102,701.52x = 154,013.40 × 40,338
  4. Step 4: Simplify right side
    102,701.52x = 6,212,592,529.20
  5. Step 5: Solve for x
    x = 6,212,592,529.20/102,701.52
  6. Step 6: Final answer
    x = 60,491.73

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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.