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Finding the Fourth Proportional to 220,342.24, 304,078.08 and 119,740.24

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Solution

The fourth proportional to 220,342.24, 304,078.08 and 119,740.24 is: 165,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,342.24 : 304,078.08 = 119,740.24 : x
  2. Step 2: Convert to fraction form
    220,342.24/304,078.08 = 119,740.24/x
  3. Step 3: Cross multiply
    220,342.24x = 304,078.08 × 119,740.24
  4. Step 4: Simplify right side
    220,342.24x = 36,410,382,277.94
  5. Step 5: Solve for x
    x = 36,410,382,277.94/220,342.24
  6. Step 6: Final answer
    x = 165,244.68

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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.