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Finding the Fourth Proportional to 205,390.69, 308,124.91 and 94,582.69

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Solution

The fourth proportional to 205,390.69, 308,124.91 and 94,582.69 is: 141,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,390.69 : 308,124.91 = 94,582.69 : x
  2. Step 2: Convert to fraction form
    205,390.69/308,124.91 = 94,582.69/x
  3. Step 3: Cross multiply
    205,390.69x = 308,124.91 × 94,582.69
  4. Step 4: Simplify right side
    205,390.69x = 29,143,282,191.72
  5. Step 5: Solve for x
    x = 29,143,282,191.72/205,390.69
  6. Step 6: Final answer
    x = 141,891.94

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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.