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Finding the Fourth Proportional to 226,038, 339,117.48 and 78,294

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Solution

The fourth proportional to 226,038, 339,117.48 and 78,294 is: 117,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,038 : 339,117.48 = 78,294 : x
  2. Step 2: Convert to fraction form
    226,038/339,117.48 = 78,294/x
  3. Step 3: Cross multiply
    226,038x = 339,117.48 × 78,294
  4. Step 4: Simplify right side
    226,038x = 26,550,863,979.12
  5. Step 5: Solve for x
    x = 26,550,863,979.12/226,038
  6. Step 6: Final answer
    x = 117,461.95

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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.