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Finding the Fourth Proportional to 205,656, 283,805.76 and 116,232

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Solution

The fourth proportional to 205,656, 283,805.76 and 116,232 is: 160,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,656 : 283,805.76 = 116,232 : x
  2. Step 2: Convert to fraction form
    205,656/283,805.76 = 116,232/x
  3. Step 3: Cross multiply
    205,656x = 283,805.76 × 116,232
  4. Step 4: Simplify right side
    205,656x = 32,987,311,096.32
  5. Step 5: Solve for x
    x = 32,987,311,096.32/205,656
  6. Step 6: Final answer
    x = 160,400.43

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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.