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Finding the Fourth Proportional to 229,095.14, 343,560.34 and 79,294.82

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Solution

The fourth proportional to 229,095.14, 343,560.34 and 79,294.82 is: 118,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,095.14 : 343,560.34 = 79,294.82 : x
  2. Step 2: Convert to fraction form
    229,095.14/343,560.34 = 79,294.82/x
  3. Step 3: Cross multiply
    229,095.14x = 343,560.34 × 79,294.82
  4. Step 4: Simplify right side
    229,095.14x = 27,242,555,319.44
  5. Step 5: Solve for x
    x = 27,242,555,319.44/229,095.14
  6. Step 6: Final answer
    x = 118,913.72

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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.