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Finding the Fourth Proportional to 225,825.14, 338,737.84 and 57,358.10

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Solution

The fourth proportional to 225,825.14, 338,737.84 and 57,358.10 is: 86,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,825.14 : 338,737.84 = 57,358.10 : x
  2. Step 2: Convert to fraction form
    225,825.14/338,737.84 = 57,358.10/x
  3. Step 3: Cross multiply
    225,825.14x = 338,737.84 × 57,358.10
  4. Step 4: Simplify right side
    225,825.14x = 19,429,358,900.50
  5. Step 5: Solve for x
    x = 19,429,358,900.50/225,825.14
  6. Step 6: Final answer
    x = 86,037.18

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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.