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Finding the Fourth Proportional to 201,296.63, 277,789.35 and 116,419.16

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Solution

The fourth proportional to 201,296.63, 277,789.35 and 116,419.16 is: 160,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296.63 : 277,789.35 = 116,419.16 : x
  2. Step 2: Convert to fraction form
    201,296.63/277,789.35 = 116,419.16/x
  3. Step 3: Cross multiply
    201,296.63x = 277,789.35 × 116,419.16
  4. Step 4: Simplify right side
    201,296.63x = 32,340,002,783.95
  5. Step 5: Solve for x
    x = 32,340,002,783.95/201,296.63
  6. Step 6: Final answer
    x = 160,658.44

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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.