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Finding the Fourth Proportional to 201,796.13, 278,478.65 and 116,962.40

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Solution

The fourth proportional to 201,796.13, 278,478.65 and 116,962.40 is: 161,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.13 : 278,478.65 = 116,962.40 : x
  2. Step 2: Convert to fraction form
    201,796.13/278,478.65 = 116,962.40/x
  3. Step 3: Cross multiply
    201,796.13x = 278,478.65 × 116,962.40
  4. Step 4: Simplify right side
    201,796.13x = 32,571,530,152.77
  5. Step 5: Solve for x
    x = 32,571,530,152.77/201,796.13
  6. Step 6: Final answer
    x = 161,408.11

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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.