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Finding the Fourth Proportional to 281,054.26, 421,568.43 and 103,549.24

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Solution

The fourth proportional to 281,054.26, 421,568.43 and 103,549.24 is: 155,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,054.26 : 421,568.43 = 103,549.24 : x
  2. Step 2: Convert to fraction form
    281,054.26/421,568.43 = 103,549.24/x
  3. Step 3: Cross multiply
    281,054.26x = 421,568.43 × 103,549.24
  4. Step 4: Simplify right side
    281,054.26x = 43,653,090,534.49
  5. Step 5: Solve for x
    x = 43,653,090,534.49/281,054.26
  6. Step 6: Final answer
    x = 155,319.09

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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.