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Finding the Fourth Proportional to 224,786.61, 310,238.01 and 134,146.40

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Solution

The fourth proportional to 224,786.61, 310,238.01 and 134,146.40 is: 185,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,786.61 : 310,238.01 = 134,146.40 : x
  2. Step 2: Convert to fraction form
    224,786.61/310,238.01 = 134,146.40/x
  3. Step 3: Cross multiply
    224,786.61x = 310,238.01 × 134,146.40
  4. Step 4: Simplify right side
    224,786.61x = 41,617,310,633.47
  5. Step 5: Solve for x
    x = 41,617,310,633.47/224,786.61
  6. Step 6: Final answer
    x = 185,141.41

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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.