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Finding the Fourth Proportional to 204,655.16, 307,024.25 and 64,381.16

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Solution

The fourth proportional to 204,655.16, 307,024.25 and 64,381.16 is: 96,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,655.16 : 307,024.25 = 64,381.16 : x
  2. Step 2: Convert to fraction form
    204,655.16/307,024.25 = 64,381.16/x
  3. Step 3: Cross multiply
    204,655.16x = 307,024.25 × 64,381.16
  4. Step 4: Simplify right side
    204,655.16x = 19,766,577,363.13
  5. Step 5: Solve for x
    x = 19,766,577,363.13/204,655.16
  6. Step 6: Final answer
    x = 96,584.80

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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.