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Finding the Fourth Proportional to 152,766.60, 229,149.90 and 133,083.60

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Solution

The fourth proportional to 152,766.60, 229,149.90 and 133,083.60 is: 199,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,766.60 : 229,149.90 = 133,083.60 : x
  2. Step 2: Convert to fraction form
    152,766.60/229,149.90 = 133,083.60/x
  3. Step 3: Cross multiply
    152,766.60x = 229,149.90 × 133,083.60
  4. Step 4: Simplify right side
    152,766.60x = 30,496,093,631.64
  5. Step 5: Solve for x
    x = 30,496,093,631.64/152,766.60
  6. Step 6: Final answer
    x = 199,625.40

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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.