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Finding the Fourth Proportional to 205,019.55, 282,927.09 and 114,375.51

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Solution

The fourth proportional to 205,019.55, 282,927.09 and 114,375.51 is: 157,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.55 : 282,927.09 = 114,375.51 : x
  2. Step 2: Convert to fraction form
    205,019.55/282,927.09 = 114,375.51/x
  3. Step 3: Cross multiply
    205,019.55x = 282,927.09 × 114,375.51
  4. Step 4: Simplify right side
    205,019.55x = 32,359,928,796.93
  5. Step 5: Solve for x
    x = 32,359,928,796.93/205,019.55
  6. Step 6: Final answer
    x = 157,838.26

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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.