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Finding the Fourth Proportional to 231,873.60, 348,232.80 and 202,843.20

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Solution

The fourth proportional to 231,873.60, 348,232.80 and 202,843.20 is: 304,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,873.60 : 348,232.80 = 202,843.20 : x
  2. Step 2: Convert to fraction form
    231,873.60/348,232.80 = 202,843.20/x
  3. Step 3: Cross multiply
    231,873.60x = 348,232.80 × 202,843.20
  4. Step 4: Simplify right side
    231,873.60x = 70,636,655,496.96
  5. Step 5: Solve for x
    x = 70,636,655,496.96/231,873.60
  6. Step 6: Final answer
    x = 304,634.32

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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.