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Finding the Fourth Proportional to 254,617.86, 381,924.36 and 154,805.58

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Solution

The fourth proportional to 254,617.86, 381,924.36 and 154,805.58 is: 232,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,617.86 : 381,924.36 = 154,805.58 : x
  2. Step 2: Convert to fraction form
    254,617.86/381,924.36 = 154,805.58/x
  3. Step 3: Cross multiply
    254,617.86x = 381,924.36 × 154,805.58
  4. Step 4: Simplify right side
    254,617.86x = 59,124,022,065.93
  5. Step 5: Solve for x
    x = 59,124,022,065.93/254,617.86
  6. Step 6: Final answer
    x = 232,206.89

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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.