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Finding the Fourth Proportional to 205,018.82, 282,926.10 and 114,374.79

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Solution

The fourth proportional to 205,018.82, 282,926.10 and 114,374.79 is: 157,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018.82 : 282,926.10 = 114,374.79 : x
  2. Step 2: Convert to fraction form
    205,018.82/282,926.10 = 114,374.79/x
  3. Step 3: Cross multiply
    205,018.82x = 282,926.10 × 114,374.79
  4. Step 4: Simplify right side
    205,018.82x = 32,359,612,262.84
  5. Step 5: Solve for x
    x = 32,359,612,262.84/205,018.82
  6. Step 6: Final answer
    x = 157,837.27

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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.