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Finding the Fourth Proportional to 205,648.48, 283,730.34 and 114,992.20

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Solution

The fourth proportional to 205,648.48, 283,730.34 and 114,992.20 is: 158,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,648.48 : 283,730.34 = 114,992.20 : x
  2. Step 2: Convert to fraction form
    205,648.48/283,730.34 = 114,992.20/x
  3. Step 3: Cross multiply
    205,648.48x = 283,730.34 × 114,992.20
  4. Step 4: Simplify right side
    205,648.48x = 32,626,776,003.35
  5. Step 5: Solve for x
    x = 32,626,776,003.35/205,648.48
  6. Step 6: Final answer
    x = 158,653.13

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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.