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Finding the Fourth Proportional to 133,695.60, 200,543.40 and 107,451.60

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Solution

The fourth proportional to 133,695.60, 200,543.40 and 107,451.60 is: 161,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.60 : 200,543.40 = 107,451.60 : x
  2. Step 2: Convert to fraction form
    133,695.60/200,543.40 = 107,451.60/x
  3. Step 3: Cross multiply
    133,695.60x = 200,543.40 × 107,451.60
  4. Step 4: Simplify right side
    133,695.60x = 21,548,709,199.44
  5. Step 5: Solve for x
    x = 21,548,709,199.44/133,695.60
  6. Step 6: Final answer
    x = 161,177.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.