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Finding the Fourth Proportional to 216,956.34, 299,406.24 and 121,462.20

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Solution

The fourth proportional to 216,956.34, 299,406.24 and 121,462.20 is: 167,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,956.34 : 299,406.24 = 121,462.20 : x
  2. Step 2: Convert to fraction form
    216,956.34/299,406.24 = 121,462.20/x
  3. Step 3: Cross multiply
    216,956.34x = 299,406.24 × 121,462.20
  4. Step 4: Simplify right side
    216,956.34x = 36,366,540,604.13
  5. Step 5: Solve for x
    x = 36,366,540,604.13/216,956.34
  6. Step 6: Final answer
    x = 167,621.47

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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.