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Finding the Fourth Proportional to 228,885.84, 343,321.47 and 71,071.92

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Solution

The fourth proportional to 228,885.84, 343,321.47 and 71,071.92 is: 106,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,885.84 : 343,321.47 = 71,071.92 : x
  2. Step 2: Convert to fraction form
    228,885.84/343,321.47 = 71,071.92/x
  3. Step 3: Cross multiply
    228,885.84x = 343,321.47 × 71,071.92
  4. Step 4: Simplify right side
    228,885.84x = 24,400,516,050.12
  5. Step 5: Solve for x
    x = 24,400,516,050.12/228,885.84
  6. Step 6: Final answer
    x = 106,605.62

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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.