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Finding the Fourth Proportional to 225,929.88, 338,658.36 and 76,118.40

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Solution

The fourth proportional to 225,929.88, 338,658.36 and 76,118.40 is: 114,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,929.88 : 338,658.36 = 76,118.40 : x
  2. Step 2: Convert to fraction form
    225,929.88/338,658.36 = 76,118.40/x
  3. Step 3: Cross multiply
    225,929.88x = 338,658.36 × 76,118.40
  4. Step 4: Simplify right side
    225,929.88x = 25,778,132,509.82
  5. Step 5: Solve for x
    x = 25,778,132,509.82/225,929.88
  6. Step 6: Final answer
    x = 114,097.93

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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.