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Finding the Fourth Proportional to 220,544, 304,350.72 and 119,944.16

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Solution

The fourth proportional to 220,544, 304,350.72 and 119,944.16 is: 165,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,544 : 304,350.72 = 119,944.16 : x
  2. Step 2: Convert to fraction form
    220,544/304,350.72 = 119,944.16/x
  3. Step 3: Cross multiply
    220,544x = 304,350.72 × 119,944.16
  4. Step 4: Simplify right side
    220,544x = 36,505,091,455.80
  5. Step 5: Solve for x
    x = 36,505,091,455.80/220,544
  6. Step 6: Final answer
    x = 165,522.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.