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Finding the Fourth Proportional to 217,240.98, 299,810.30 and 120,475.14

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Solution

The fourth proportional to 217,240.98, 299,810.30 and 120,475.14 is: 166,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,240.98 : 299,810.30 = 120,475.14 : x
  2. Step 2: Convert to fraction form
    217,240.98/299,810.30 = 120,475.14/x
  3. Step 3: Cross multiply
    217,240.98x = 299,810.30 × 120,475.14
  4. Step 4: Simplify right side
    217,240.98x = 36,119,687,865.94
  5. Step 5: Solve for x
    x = 36,119,687,865.94/217,240.98
  6. Step 6: Final answer
    x = 166,265.54

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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.