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Finding the Fourth Proportional to 103,193.68, 154,797.72 and 40,864

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Solution

The fourth proportional to 103,193.68, 154,797.72 and 40,864 is: 61,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,193.68 : 154,797.72 = 40,864 : x
  2. Step 2: Convert to fraction form
    103,193.68/154,797.72 = 40,864/x
  3. Step 3: Cross multiply
    103,193.68x = 154,797.72 × 40,864
  4. Step 4: Simplify right side
    103,193.68x = 6,325,654,030.08
  5. Step 5: Solve for x
    x = 6,325,654,030.08/103,193.68
  6. Step 6: Final answer
    x = 61,298.85

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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.