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Finding the Fourth Proportional to 221,693.10, 332,539.65 and 133,046.70

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Solution

The fourth proportional to 221,693.10, 332,539.65 and 133,046.70 is: 199,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,693.10 : 332,539.65 = 133,046.70 : x
  2. Step 2: Convert to fraction form
    221,693.10/332,539.65 = 133,046.70/x
  3. Step 3: Cross multiply
    221,693.10x = 332,539.65 × 133,046.70
  4. Step 4: Simplify right side
    221,693.10x = 44,243,303,051.66
  5. Step 5: Solve for x
    x = 44,243,303,051.66/221,693.10
  6. Step 6: Final answer
    x = 199,570.05

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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.