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Finding the Fourth Proportional to 205,841, 284,060.58 and 111,633

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Solution

The fourth proportional to 205,841, 284,060.58 and 111,633 is: 154,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,841 : 284,060.58 = 111,633 : x
  2. Step 2: Convert to fraction form
    205,841/284,060.58 = 111,633/x
  3. Step 3: Cross multiply
    205,841x = 284,060.58 × 111,633
  4. Step 4: Simplify right side
    205,841x = 31,710,534,727.14
  5. Step 5: Solve for x
    x = 31,710,534,727.14/205,841
  6. Step 6: Final answer
    x = 154,053.54

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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.