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Finding the Fourth Proportional to 269,231.43, 371,547.16 and 148,380.50

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Solution

The fourth proportional to 269,231.43, 371,547.16 and 148,380.50 is: 204,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231.43 : 371,547.16 = 148,380.50 : x
  2. Step 2: Convert to fraction form
    269,231.43/371,547.16 = 148,380.50/x
  3. Step 3: Cross multiply
    269,231.43x = 371,547.16 × 148,380.50
  4. Step 4: Simplify right side
    269,231.43x = 55,130,353,932.30
  5. Step 5: Solve for x
    x = 55,130,353,932.30/269,231.43
  6. Step 6: Final answer
    x = 204,769.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.