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Finding the Fourth Proportional to 220,409.11, 304,164.48 and 119,807.11

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Solution

The fourth proportional to 220,409.11, 304,164.48 and 119,807.11 is: 165,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,409.11 : 304,164.48 = 119,807.11 : x
  2. Step 2: Convert to fraction form
    220,409.11/304,164.48 = 119,807.11/x
  3. Step 3: Cross multiply
    220,409.11x = 304,164.48 × 119,807.11
  4. Step 4: Simplify right side
    220,409.11x = 36,441,067,313.45
  5. Step 5: Solve for x
    x = 36,441,067,313.45/220,409.11
  6. Step 6: Final answer
    x = 165,333.76

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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.