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Finding the Fourth Proportional to 205,842, 284,061.96 and 111,634

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Solution

The fourth proportional to 205,842, 284,061.96 and 111,634 is: 154,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,842 : 284,061.96 = 111,634 : x
  2. Step 2: Convert to fraction form
    205,842/284,061.96 = 111,634/x
  3. Step 3: Cross multiply
    205,842x = 284,061.96 × 111,634
  4. Step 4: Simplify right side
    205,842x = 31,710,972,842.64
  5. Step 5: Solve for x
    x = 31,710,972,842.64/205,842
  6. Step 6: Final answer
    x = 154,054.92

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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.