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Finding the Fourth Proportional to 228,767.76, 343,384.08 and 110,538.60

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Solution

The fourth proportional to 228,767.76, 343,384.08 and 110,538.60 is: 165,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,767.76 : 343,384.08 = 110,538.60 : x
  2. Step 2: Convert to fraction form
    228,767.76/343,384.08 = 110,538.60/x
  3. Step 3: Cross multiply
    228,767.76x = 343,384.08 × 110,538.60
  4. Step 4: Simplify right side
    228,767.76x = 37,957,195,465.49
  5. Step 5: Solve for x
    x = 37,957,195,465.49/228,767.76
  6. Step 6: Final answer
    x = 165,920.21

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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.