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Finding the Fourth Proportional to 274,090.66, 411,085.74 and 124,294.92

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Solution

The fourth proportional to 274,090.66, 411,085.74 and 124,294.92 is: 186,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,090.66 : 411,085.74 = 124,294.92 : x
  2. Step 2: Convert to fraction form
    274,090.66/411,085.74 = 124,294.92/x
  3. Step 3: Cross multiply
    274,090.66x = 411,085.74 × 124,294.92
  4. Step 4: Simplify right side
    274,090.66x = 51,095,869,166.44
  5. Step 5: Solve for x
    x = 51,095,869,166.44/274,090.66
  6. Step 6: Final answer
    x = 186,419.59

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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.