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Finding the Fourth Proportional to 205,553.26, 283,710.90 and 133,808.32

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Solution

The fourth proportional to 205,553.26, 283,710.90 and 133,808.32 is: 184,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,553.26 : 283,710.90 = 133,808.32 : x
  2. Step 2: Convert to fraction form
    205,553.26/283,710.90 = 133,808.32/x
  3. Step 3: Cross multiply
    205,553.26x = 283,710.90 × 133,808.32
  4. Step 4: Simplify right side
    205,553.26x = 37,962,878,894.69
  5. Step 5: Solve for x
    x = 37,962,878,894.69/205,553.26
  6. Step 6: Final answer
    x = 184,686.34

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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.