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Finding the Fourth Proportional to 224,769.69, 310,188.28 and 134,178.26

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Solution

The fourth proportional to 224,769.69, 310,188.28 and 134,178.26 is: 185,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,769.69 : 310,188.28 = 134,178.26 : x
  2. Step 2: Convert to fraction form
    224,769.69/310,188.28 = 134,178.26/x
  3. Step 3: Cross multiply
    224,769.69x = 310,188.28 × 134,178.26
  4. Step 4: Simplify right side
    224,769.69x = 41,620,522,837.71
  5. Step 5: Solve for x
    x = 41,620,522,837.71/224,769.69
  6. Step 6: Final answer
    x = 185,169.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.