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Finding the Fourth Proportional to 217,104.64, 299,599.96 and 120,307.68

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Solution

The fourth proportional to 217,104.64, 299,599.96 and 120,307.68 is: 166,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,104.64 : 299,599.96 = 120,307.68 : x
  2. Step 2: Convert to fraction form
    217,104.64/299,599.96 = 120,307.68/x
  3. Step 3: Cross multiply
    217,104.64x = 299,599.96 × 120,307.68
  4. Step 4: Simplify right side
    217,104.64x = 36,044,176,115.69
  5. Step 5: Solve for x
    x = 36,044,176,115.69/217,104.64
  6. Step 6: Final answer
    x = 166,022.14

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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.