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Finding the Fourth Proportional to 224,786.86, 310,238.36 and 134,146.65

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Solution

The fourth proportional to 224,786.86, 310,238.36 and 134,146.65 is: 185,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,786.86 : 310,238.36 = 134,146.65 : x
  2. Step 2: Convert to fraction form
    224,786.86/310,238.36 = 134,146.65/x
  3. Step 3: Cross multiply
    224,786.86x = 310,238.36 × 134,146.65
  4. Step 4: Simplify right side
    224,786.86x = 41,617,436,695.49
  5. Step 5: Solve for x
    x = 41,617,436,695.49/224,786.86
  6. Step 6: Final answer
    x = 185,141.77

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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.