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Finding the Fourth Proportional to 225,132, 337,814.64 and 114,324

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Solution

The fourth proportional to 225,132, 337,814.64 and 114,324 is: 171,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,132 : 337,814.64 = 114,324 : x
  2. Step 2: Convert to fraction form
    225,132/337,814.64 = 114,324/x
  3. Step 3: Cross multiply
    225,132x = 337,814.64 × 114,324
  4. Step 4: Simplify right side
    225,132x = 38,620,320,903.36
  5. Step 5: Solve for x
    x = 38,620,320,903.36/225,132
  6. Step 6: Final answer
    x = 171,545.23

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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.