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Finding the Fourth Proportional to 205,757.69, 284,005.37 and 119,736.77

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Solution

The fourth proportional to 205,757.69, 284,005.37 and 119,736.77 is: 165,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,757.69 : 284,005.37 = 119,736.77 : x
  2. Step 2: Convert to fraction form
    205,757.69/284,005.37 = 119,736.77/x
  3. Step 3: Cross multiply
    205,757.69x = 284,005.37 × 119,736.77
  4. Step 4: Simplify right side
    205,757.69x = 34,005,884,545.77
  5. Step 5: Solve for x
    x = 34,005,884,545.77/205,757.69
  6. Step 6: Final answer
    x = 165,271.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.