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Finding the Fourth Proportional to 312,496.56, 468,803.16 and 102,282.12

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Solution

The fourth proportional to 312,496.56, 468,803.16 and 102,282.12 is: 153,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,496.56 : 468,803.16 = 102,282.12 : x
  2. Step 2: Convert to fraction form
    312,496.56/468,803.16 = 102,282.12/x
  3. Step 3: Cross multiply
    312,496.56x = 468,803.16 × 102,282.12
  4. Step 4: Simplify right side
    312,496.56x = 47,950,181,067.50
  5. Step 5: Solve for x
    x = 47,950,181,067.50/312,496.56
  6. Step 6: Final answer
    x = 153,442.27

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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.