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Finding the Fourth Proportional to 133,695.20, 200,596.80 and 58,829.60

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Solution

The fourth proportional to 133,695.20, 200,596.80 and 58,829.60 is: 88,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.20 : 200,596.80 = 58,829.60 : x
  2. Step 2: Convert to fraction form
    133,695.20/200,596.80 = 58,829.60/x
  3. Step 3: Cross multiply
    133,695.20x = 200,596.80 × 58,829.60
  4. Step 4: Simplify right side
    133,695.20x = 11,801,029,505.28
  5. Step 5: Solve for x
    x = 11,801,029,505.28/133,695.20
  6. Step 6: Final answer
    x = 88,268.16

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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.