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Finding the Fourth Proportional to 228,491.93, 342,797.02 and 133,802.12

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Solution

The fourth proportional to 228,491.93, 342,797.02 and 133,802.12 is: 200,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,491.93 : 342,797.02 = 133,802.12 : x
  2. Step 2: Convert to fraction form
    228,491.93/342,797.02 = 133,802.12/x
  3. Step 3: Cross multiply
    228,491.93x = 342,797.02 × 133,802.12
  4. Step 4: Simplify right side
    228,491.93x = 45,866,965,957.19
  5. Step 5: Solve for x
    x = 45,866,965,957.19/228,491.93
  6. Step 6: Final answer
    x = 200,737.80

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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.