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Finding the Fourth Proportional to 228,274.95, 342,470.79 and 133,584.87

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Solution

The fourth proportional to 228,274.95, 342,470.79 and 133,584.87 is: 200,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,274.95 : 342,470.79 = 133,584.87 : x
  2. Step 2: Convert to fraction form
    228,274.95/342,470.79 = 133,584.87/x
  3. Step 3: Cross multiply
    228,274.95x = 342,470.79 × 133,584.87
  4. Step 4: Simplify right side
    228,274.95x = 45,748,915,960.95
  5. Step 5: Solve for x
    x = 45,748,915,960.95/228,274.95
  6. Step 6: Final answer
    x = 200,411.46

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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.