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Finding the Fourth Proportional to 239,198.72, 358,748.80 and 105,994.02

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Solution

The fourth proportional to 239,198.72, 358,748.80 and 105,994.02 is: 158,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,198.72 : 358,748.80 = 105,994.02 : x
  2. Step 2: Convert to fraction form
    239,198.72/358,748.80 = 105,994.02/x
  3. Step 3: Cross multiply
    239,198.72x = 358,748.80 × 105,994.02
  4. Step 4: Simplify right side
    239,198.72x = 38,025,226,544.54
  5. Step 5: Solve for x
    x = 38,025,226,544.54/239,198.72
  6. Step 6: Final answer
    x = 158,969.19

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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.