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Finding the Fourth Proportional to 225,864.66, 338,710.92 and 76,064.76

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Solution

The fourth proportional to 225,864.66, 338,710.92 and 76,064.76 is: 114,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864.66 : 338,710.92 = 76,064.76 : x
  2. Step 2: Convert to fraction form
    225,864.66/338,710.92 = 76,064.76/x
  3. Step 3: Cross multiply
    225,864.66x = 338,710.92 × 76,064.76
  4. Step 4: Simplify right side
    225,864.66x = 25,763,964,839.18
  5. Step 5: Solve for x
    x = 25,763,964,839.18/225,864.66
  6. Step 6: Final answer
    x = 114,068.15

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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.