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Finding the Fourth Proportional to 231,877.60, 348,238.80 and 202,847.20

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Solution

The fourth proportional to 231,877.60, 348,238.80 and 202,847.20 is: 304,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,877.60 : 348,238.80 = 202,847.20 : x
  2. Step 2: Convert to fraction form
    231,877.60/348,238.80 = 202,847.20/x
  3. Step 3: Cross multiply
    231,877.60x = 348,238.80 × 202,847.20
  4. Step 4: Simplify right side
    231,877.60x = 70,639,265,511.36
  5. Step 5: Solve for x
    x = 70,639,265,511.36/231,877.60
  6. Step 6: Final answer
    x = 304,640.32

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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.