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Finding the Fourth Proportional to 229,984.76, 344,952.86 and 61,522.08

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Solution

The fourth proportional to 229,984.76, 344,952.86 and 61,522.08 is: 92,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,984.76 : 344,952.86 = 61,522.08 : x
  2. Step 2: Convert to fraction form
    229,984.76/344,952.86 = 61,522.08/x
  3. Step 3: Cross multiply
    229,984.76x = 344,952.86 × 61,522.08
  4. Step 4: Simplify right side
    229,984.76x = 21,222,217,141.54
  5. Step 5: Solve for x
    x = 21,222,217,141.54/229,984.76
  6. Step 6: Final answer
    x = 92,276.63

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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.