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Finding the Fourth Proportional to 232,205.64, 348,357.72 and 74,544.84

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Solution

The fourth proportional to 232,205.64, 348,357.72 and 74,544.84 is: 111,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,205.64 : 348,357.72 = 74,544.84 : x
  2. Step 2: Convert to fraction form
    232,205.64/348,357.72 = 74,544.84/x
  3. Step 3: Cross multiply
    232,205.64x = 348,357.72 × 74,544.84
  4. Step 4: Simplify right side
    232,205.64x = 25,968,270,500.16
  5. Step 5: Solve for x
    x = 25,968,270,500.16/232,205.64
  6. Step 6: Final answer
    x = 111,833.07

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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.