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Finding the Fourth Proportional to 274,098.98, 411,218.54 and 105,574.07

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Solution

The fourth proportional to 274,098.98, 411,218.54 and 105,574.07 is: 158,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,098.98 : 411,218.54 = 105,574.07 : x
  2. Step 2: Convert to fraction form
    274,098.98/411,218.54 = 105,574.07/x
  3. Step 3: Cross multiply
    274,098.98x = 411,218.54 × 105,574.07
  4. Step 4: Simplify right side
    274,098.98x = 43,414,015,823.34
  5. Step 5: Solve for x
    x = 43,414,015,823.34/274,098.98
  6. Step 6: Final answer
    x = 158,388.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.