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Finding the Fourth Proportional to 207,234.94, 285,963.86 and 116,588.95

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Solution

The fourth proportional to 207,234.94, 285,963.86 and 116,588.95 is: 160,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234.94 : 285,963.86 = 116,588.95 : x
  2. Step 2: Convert to fraction form
    207,234.94/285,963.86 = 116,588.95/x
  3. Step 3: Cross multiply
    207,234.94x = 285,963.86 × 116,588.95
  4. Step 4: Simplify right side
    207,234.94x = 33,340,225,592.40
  5. Step 5: Solve for x
    x = 33,340,225,592.40/207,234.94
  6. Step 6: Final answer
    x = 160,881.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.