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Finding the Fourth Proportional to 229,823.75, 344,735.64 and 72,064.91

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Solution

The fourth proportional to 229,823.75, 344,735.64 and 72,064.91 is: 108,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,823.75 : 344,735.64 = 72,064.91 : x
  2. Step 2: Convert to fraction form
    229,823.75/344,735.64 = 72,064.91/x
  3. Step 3: Cross multiply
    229,823.75x = 344,735.64 × 72,064.91
  4. Step 4: Simplify right side
    229,823.75x = 24,843,343,732.23
  5. Step 5: Solve for x
    x = 24,843,343,732.23/229,823.75
  6. Step 6: Final answer
    x = 108,097.37

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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.