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Finding the Fourth Proportional to 221,922.44, 332,967.53 and 133,237.77

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Solution

The fourth proportional to 221,922.44, 332,967.53 and 133,237.77 is: 199,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,922.44 : 332,967.53 = 133,237.77 : x
  2. Step 2: Convert to fraction form
    221,922.44/332,967.53 = 133,237.77/x
  3. Step 3: Cross multiply
    221,922.44x = 332,967.53 × 133,237.77
  4. Step 4: Simplify right side
    221,922.44x = 44,363,851,179.61
  5. Step 5: Solve for x
    x = 44,363,851,179.61/221,922.44
  6. Step 6: Final answer
    x = 199,907.01

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1.5x scale

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.