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Finding the Fourth Proportional to 230,238.36, 344,719.85 and 117,676.17

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Solution

The fourth proportional to 230,238.36, 344,719.85 and 117,676.17 is: 176,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,238.36 : 344,719.85 = 117,676.17 : x
  2. Step 2: Convert to fraction form
    230,238.36/344,719.85 = 117,676.17/x
  3. Step 3: Cross multiply
    230,238.36x = 344,719.85 × 117,676.17
  4. Step 4: Simplify right side
    230,238.36x = 40,565,311,082.59
  5. Step 5: Solve for x
    x = 40,565,311,082.59/230,238.36
  6. Step 6: Final answer
    x = 176,188.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.