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Finding the Fourth Proportional to 205,284.58, 307,882.86 and 119,838.52

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Solution

The fourth proportional to 205,284.58, 307,882.86 and 119,838.52 is: 179,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284.58 : 307,882.86 = 119,838.52 : x
  2. Step 2: Convert to fraction form
    205,284.58/307,882.86 = 119,838.52/x
  3. Step 3: Cross multiply
    205,284.58x = 307,882.86 × 119,838.52
  4. Step 4: Simplify right side
    205,284.58x = 36,896,226,275.77
  5. Step 5: Solve for x
    x = 36,896,226,275.77/205,284.58
  6. Step 6: Final answer
    x = 179,732.09

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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.