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Finding the Fourth Proportional to 179,807.30, 269,710.95 and 116,821.70

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Solution

The fourth proportional to 179,807.30, 269,710.95 and 116,821.70 is: 175,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,807.30 : 269,710.95 = 116,821.70 : x
  2. Step 2: Convert to fraction form
    179,807.30/269,710.95 = 116,821.70/x
  3. Step 3: Cross multiply
    179,807.30x = 269,710.95 × 116,821.70
  4. Step 4: Simplify right side
    179,807.30x = 31,508,091,687.62
  5. Step 5: Solve for x
    x = 31,508,091,687.62/179,807.30
  6. Step 6: Final answer
    x = 175,232.55

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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.