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Finding the Fourth Proportional to 254,829.62, 382,246.74 and 77,336.61

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Solution

The fourth proportional to 254,829.62, 382,246.74 and 77,336.61 is: 116,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,829.62 : 382,246.74 = 77,336.61 : x
  2. Step 2: Convert to fraction form
    254,829.62/382,246.74 = 77,336.61/x
  3. Step 3: Cross multiply
    254,829.62x = 382,246.74 × 77,336.61
  4. Step 4: Simplify right side
    254,829.62x = 29,561,667,055.15
  5. Step 5: Solve for x
    x = 29,561,667,055.15/254,829.62
  6. Step 6: Final answer
    x = 116,005.62

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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.