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Finding the Fourth Proportional to 208,856.70, 288,198.28 and 116,963.17

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Solution

The fourth proportional to 208,856.70, 288,198.28 and 116,963.17 is: 161,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,856.70 : 288,198.28 = 116,963.17 : x
  2. Step 2: Convert to fraction form
    208,856.70/288,198.28 = 116,963.17/x
  3. Step 3: Cross multiply
    208,856.70x = 288,198.28 × 116,963.17
  4. Step 4: Simplify right side
    208,856.70x = 33,708,584,417.35
  5. Step 5: Solve for x
    x = 33,708,584,417.35/208,856.70
  6. Step 6: Final answer
    x = 161,395.75

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1.5x scale

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.