Home / 205,764.16-284,115.64-157,941.76

Finding the Fourth Proportional to 205,764.16, 284,115.64 and 157,941.76

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Solution

The fourth proportional to 205,764.16, 284,115.64 and 157,941.76 is: 218,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,764.16 : 284,115.64 = 157,941.76 : x
  2. Step 2: Convert to fraction form
    205,764.16/284,115.64 = 157,941.76/x
  3. Step 3: Cross multiply
    205,764.16x = 284,115.64 × 157,941.76
  4. Step 4: Simplify right side
    205,764.16x = 44,873,724,225.13
  5. Step 5: Solve for x
    x = 44,873,724,225.13/205,764.16
  6. Step 6: Final answer
    x = 218,083.29

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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.