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Finding the Fourth Proportional to 224,005.31, 335,891.29 and 105,644.87

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Solution

The fourth proportional to 224,005.31, 335,891.29 and 105,644.87 is: 158,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,005.31 : 335,891.29 = 105,644.87 : x
  2. Step 2: Convert to fraction form
    224,005.31/335,891.29 = 105,644.87/x
  3. Step 3: Cross multiply
    224,005.31x = 335,891.29 × 105,644.87
  4. Step 4: Simplify right side
    224,005.31x = 35,485,191,666.18
  5. Step 5: Solve for x
    x = 35,485,191,666.18/224,005.31
  6. Step 6: Final answer
    x = 158,412.28

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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.