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Finding the Fourth Proportional to 102,846.20, 154,269.30 and 61,374.20

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Solution

The fourth proportional to 102,846.20, 154,269.30 and 61,374.20 is: 92,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,846.20 : 154,269.30 = 61,374.20 : x
  2. Step 2: Convert to fraction form
    102,846.20/154,269.30 = 61,374.20/x
  3. Step 3: Cross multiply
    102,846.20x = 154,269.30 × 61,374.20
  4. Step 4: Simplify right side
    102,846.20x = 9,468,154,872.06
  5. Step 5: Solve for x
    x = 9,468,154,872.06/102,846.20
  6. Step 6: Final answer
    x = 92,061.30

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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.