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Finding the Fourth Proportional to 220,394.58, 304,144.47 and 119,792.58

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Solution

The fourth proportional to 220,394.58, 304,144.47 and 119,792.58 is: 165,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,394.58 : 304,144.47 = 119,792.58 : x
  2. Step 2: Convert to fraction form
    220,394.58/304,144.47 = 119,792.58/x
  3. Step 3: Cross multiply
    220,394.58x = 304,144.47 × 119,792.58
  4. Step 4: Simplify right side
    220,394.58x = 36,434,250,754.03
  5. Step 5: Solve for x
    x = 36,434,250,754.03/220,394.58
  6. Step 6: Final answer
    x = 165,313.73

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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.