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Finding the Fourth Proportional to 214,878.88, 322,282.57 and 65,083.55

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Solution

The fourth proportional to 214,878.88, 322,282.57 and 65,083.55 is: 97,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,878.88 : 322,282.57 = 65,083.55 : x
  2. Step 2: Convert to fraction form
    214,878.88/322,282.57 = 65,083.55/x
  3. Step 3: Cross multiply
    214,878.88x = 322,282.57 × 65,083.55
  4. Step 4: Simplify right side
    214,878.88x = 20,975,293,433.31
  5. Step 5: Solve for x
    x = 20,975,293,433.31/214,878.88
  6. Step 6: Final answer
    x = 97,614.50

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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.