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Finding the Fourth Proportional to 523,127.02, 784,697.82 and 149,150.02

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Solution

The fourth proportional to 523,127.02, 784,697.82 and 149,150.02 is: 223,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,127.02 : 784,697.82 = 149,150.02 : x
  2. Step 2: Convert to fraction form
    523,127.02/784,697.82 = 149,150.02/x
  3. Step 3: Cross multiply
    523,127.02x = 784,697.82 × 149,150.02
  4. Step 4: Simplify right side
    523,127.02x = 117,037,695,546.96
  5. Step 5: Solve for x
    x = 117,037,695,546.96/523,127.02
  6. Step 6: Final answer
    x = 223,727.11

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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.