Home / 205,838.80-284,071.24-115,202.64

Finding the Fourth Proportional to 205,838.80, 284,071.24 and 115,202.64

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Solution

The fourth proportional to 205,838.80, 284,071.24 and 115,202.64 is: 158,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.80 : 284,071.24 = 115,202.64 : x
  2. Step 2: Convert to fraction form
    205,838.80/284,071.24 = 115,202.64/x
  3. Step 3: Cross multiply
    205,838.80x = 284,071.24 × 115,202.64
  4. Step 4: Simplify right side
    205,838.80x = 32,725,756,796.07
  5. Step 5: Solve for x
    x = 32,725,756,796.07/205,838.80
  6. Step 6: Final answer
    x = 158,987.31

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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.