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Finding the Fourth Proportional to 226,684.66, 339,746.70 and 114,397

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Solution

The fourth proportional to 226,684.66, 339,746.70 and 114,397 is: 171,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,684.66 : 339,746.70 = 114,397 : x
  2. Step 2: Convert to fraction form
    226,684.66/339,746.70 = 114,397/x
  3. Step 3: Cross multiply
    226,684.66x = 339,746.70 × 114,397
  4. Step 4: Simplify right side
    226,684.66x = 38,866,003,239.90
  5. Step 5: Solve for x
    x = 38,866,003,239.90/226,684.66
  6. Step 6: Final answer
    x = 171,454.05

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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.