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Finding the Fourth Proportional to 201,297, 277,789.86 and 116,419.53

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Solution

The fourth proportional to 201,297, 277,789.86 and 116,419.53 is: 160,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297 : 277,789.86 = 116,419.53 : x
  2. Step 2: Convert to fraction form
    201,297/277,789.86 = 116,419.53/x
  3. Step 3: Cross multiply
    201,297x = 277,789.86 × 116,419.53
  4. Step 4: Simplify right side
    201,297x = 32,340,164,939.97
  5. Step 5: Solve for x
    x = 32,340,164,939.97/201,297
  6. Step 6: Final answer
    x = 160,658.95

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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.