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Finding the Fourth Proportional to 311,993.02, 468,047.83 and 125,019.10

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Solution

The fourth proportional to 311,993.02, 468,047.83 and 125,019.10 is: 187,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,993.02 : 468,047.83 = 125,019.10 : x
  2. Step 2: Convert to fraction form
    311,993.02/468,047.83 = 125,019.10/x
  3. Step 3: Cross multiply
    311,993.02x = 468,047.83 × 125,019.10
  4. Step 4: Simplify right side
    311,993.02x = 58,514,918,463.55
  5. Step 5: Solve for x
    x = 58,514,918,463.55/311,993.02
  6. Step 6: Final answer
    x = 187,552.01

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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.