Home / 205,736.91-284,078.00-157,914.51

Finding the Fourth Proportional to 205,736.91, 284,078.00 and 157,914.51

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Solution

The fourth proportional to 205,736.91, 284,078.00 and 157,914.51 is: 218,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,736.91 : 284,078.00 = 157,914.51 : x
  2. Step 2: Convert to fraction form
    205,736.91/284,078.00 = 157,914.51/x
  3. Step 3: Cross multiply
    205,736.91x = 284,078.00 × 157,914.51
  4. Step 4: Simplify right side
    205,736.91x = 44,860,037,382.21
  5. Step 5: Solve for x
    x = 44,860,037,382.21/205,736.91
  6. Step 6: Final answer
    x = 218,045.65

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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.