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Finding the Fourth Proportional to 523,183, 784,781.88 and 149,206

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Solution

The fourth proportional to 523,183, 784,781.88 and 149,206 is: 223,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,183 : 784,781.88 = 149,206 : x
  2. Step 2: Convert to fraction form
    523,183/784,781.88 = 149,206/x
  3. Step 3: Cross multiply
    523,183x = 784,781.88 × 149,206
  4. Step 4: Simplify right side
    523,183x = 117,094,165,187.28
  5. Step 5: Solve for x
    x = 117,094,165,187.28/523,183
  6. Step 6: Final answer
    x = 223,811.10

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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.