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Finding the Fourth Proportional to 254,449.13, 381,848.67 and 88,237.13

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Solution

The fourth proportional to 254,449.13, 381,848.67 and 88,237.13 is: 132,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,449.13 : 381,848.67 = 88,237.13 : x
  2. Step 2: Convert to fraction form
    254,449.13/381,848.67 = 88,237.13/x
  3. Step 3: Cross multiply
    254,449.13x = 381,848.67 × 88,237.13
  4. Step 4: Simplify right side
    254,449.13x = 33,693,228,825.87
  5. Step 5: Solve for x
    x = 33,693,228,825.87/254,449.13
  6. Step 6: Final answer
    x = 132,416.37

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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.