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Finding the Fourth Proportional to 231,722.33, 348,165.81 and 147,520.08

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Solution

The fourth proportional to 231,722.33, 348,165.81 and 147,520.08 is: 221,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,722.33 : 348,165.81 = 147,520.08 : x
  2. Step 2: Convert to fraction form
    231,722.33/348,165.81 = 147,520.08/x
  3. Step 3: Cross multiply
    231,722.33x = 348,165.81 × 147,520.08
  4. Step 4: Simplify right side
    231,722.33x = 51,361,448,144.46
  5. Step 5: Solve for x
    x = 51,361,448,144.46/231,722.33
  6. Step 6: Final answer
    x = 221,650.84

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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.