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Finding the Fourth Proportional to 220,299.14, 304,013.60 and 119,697.14

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Solution

The fourth proportional to 220,299.14, 304,013.60 and 119,697.14 is: 165,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,299.14 : 304,013.60 = 119,697.14 : x
  2. Step 2: Convert to fraction form
    220,299.14/304,013.60 = 119,697.14/x
  3. Step 3: Cross multiply
    220,299.14x = 304,013.60 × 119,697.14
  4. Step 4: Simplify right side
    220,299.14x = 36,389,558,441.10
  5. Step 5: Solve for x
    x = 36,389,558,441.10/220,299.14
  6. Step 6: Final answer
    x = 165,182.48

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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.