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Finding the Fourth Proportional to 224,003.31, 335,888.29 and 105,642.87

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Solution

The fourth proportional to 224,003.31, 335,888.29 and 105,642.87 is: 158,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,003.31 : 335,888.29 = 105,642.87 : x
  2. Step 2: Convert to fraction form
    224,003.31/335,888.29 = 105,642.87/x
  3. Step 3: Cross multiply
    224,003.31x = 335,888.29 × 105,642.87
  4. Step 4: Simplify right side
    224,003.31x = 35,484,202,954.99
  5. Step 5: Solve for x
    x = 35,484,202,954.99/224,003.31
  6. Step 6: Final answer
    x = 158,409.28

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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.