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Finding the Fourth Proportional to 205,108.88, 283,064.45 and 114,482.48

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Solution

The fourth proportional to 205,108.88, 283,064.45 and 114,482.48 is: 157,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108.88 : 283,064.45 = 114,482.48 : x
  2. Step 2: Convert to fraction form
    205,108.88/283,064.45 = 114,482.48/x
  3. Step 3: Cross multiply
    205,108.88x = 283,064.45 × 114,482.48
  4. Step 4: Simplify right side
    205,108.88x = 32,405,918,248.10
  5. Step 5: Solve for x
    x = 32,405,918,248.10/205,108.88
  6. Step 6: Final answer
    x = 157,993.74

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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.