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Finding the Fourth Proportional to 204,476.94, 306,667.72 and 78,070.77

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Solution

The fourth proportional to 204,476.94, 306,667.72 and 78,070.77 is: 117,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476.94 : 306,667.72 = 78,070.77 : x
  2. Step 2: Convert to fraction form
    204,476.94/306,667.72 = 78,070.77/x
  3. Step 3: Cross multiply
    204,476.94x = 306,667.72 × 78,070.77
  4. Step 4: Simplify right side
    204,476.94x = 23,941,785,132.13
  5. Step 5: Solve for x
    x = 23,941,785,132.13/204,476.94
  6. Step 6: Final answer
    x = 117,087.95

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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.