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Finding the Fourth Proportional to 214,963.10, 322,445.39 and 65,204.67

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Solution

The fourth proportional to 214,963.10, 322,445.39 and 65,204.67 is: 97,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,963.10 : 322,445.39 = 65,204.67 : x
  2. Step 2: Convert to fraction form
    214,963.10/322,445.39 = 65,204.67/x
  3. Step 3: Cross multiply
    214,963.10x = 322,445.39 × 65,204.67
  4. Step 4: Simplify right side
    214,963.10x = 21,024,944,921.95
  5. Step 5: Solve for x
    x = 21,024,944,921.95/214,963.10
  6. Step 6: Final answer
    x = 97,807.23

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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.