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Finding the Fourth Proportional to 214,839.90, 322,259.85 and 195,156.90

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Solution

The fourth proportional to 214,839.90, 322,259.85 and 195,156.90 is: 292,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,839.90 : 322,259.85 = 195,156.90 : x
  2. Step 2: Convert to fraction form
    214,839.90/322,259.85 = 195,156.90/x
  3. Step 3: Cross multiply
    214,839.90x = 322,259.85 × 195,156.90
  4. Step 4: Simplify right side
    214,839.90x = 62,891,233,320.47
  5. Step 5: Solve for x
    x = 62,891,233,320.47/214,839.90
  6. Step 6: Final answer
    x = 292,735.35

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1.5x scale

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.