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Finding the Fourth Proportional to 226,394.48, 312,425.88 and 141,561.20

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Solution

The fourth proportional to 226,394.48, 312,425.88 and 141,561.20 is: 195,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,394.48 : 312,425.88 = 141,561.20 : x
  2. Step 2: Convert to fraction form
    226,394.48/312,425.88 = 141,561.20/x
  3. Step 3: Cross multiply
    226,394.48x = 312,425.88 × 141,561.20
  4. Step 4: Simplify right side
    226,394.48x = 44,227,382,483.86
  5. Step 5: Solve for x
    x = 44,227,382,483.86/226,394.48
  6. Step 6: Final answer
    x = 195,355.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.