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Finding the Fourth Proportional to 226,356.28, 312,353.38 and 130,869.13

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Solution

The fourth proportional to 226,356.28, 312,353.38 and 130,869.13 is: 180,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,356.28 : 312,353.38 = 130,869.13 : x
  2. Step 2: Convert to fraction form
    226,356.28/312,353.38 = 130,869.13/x
  3. Step 3: Cross multiply
    226,356.28x = 312,353.38 × 130,869.13
  4. Step 4: Simplify right side
    226,356.28x = 40,877,412,877.05
  5. Step 5: Solve for x
    x = 40,877,412,877.05/226,356.28
  6. Step 6: Final answer
    x = 180,588.82

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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.