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Finding the Fourth Proportional to 269,210.86, 371,505.86 and 148,363.30

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Solution

The fourth proportional to 269,210.86, 371,505.86 and 148,363.30 is: 204,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,210.86 : 371,505.86 = 148,363.30 : x
  2. Step 2: Convert to fraction form
    269,210.86/371,505.86 = 148,363.30/x
  3. Step 3: Cross multiply
    269,210.86x = 371,505.86 × 148,363.30
  4. Step 4: Simplify right side
    269,210.86x = 55,117,835,358.94
  5. Step 5: Solve for x
    x = 55,117,835,358.94/269,210.86
  6. Step 6: Final answer
    x = 204,738.53

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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.