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Finding the Fourth Proportional to 201,797.63, 278,480.79 and 116,963.90

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Solution

The fourth proportional to 201,797.63, 278,480.79 and 116,963.90 is: 161,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797.63 : 278,480.79 = 116,963.90 : x
  2. Step 2: Convert to fraction form
    201,797.63/278,480.79 = 116,963.90/x
  3. Step 3: Cross multiply
    201,797.63x = 278,480.79 × 116,963.90
  4. Step 4: Simplify right side
    201,797.63x = 32,572,197,881.08
  5. Step 5: Solve for x
    x = 32,572,197,881.08/201,797.63
  6. Step 6: Final answer
    x = 161,410.21

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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.