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Finding the Fourth Proportional to 274,345.87, 411,476.36 and 105,841.62

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Solution

The fourth proportional to 274,345.87, 411,476.36 and 105,841.62 is: 158,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,345.87 : 411,476.36 = 105,841.62 : x
  2. Step 2: Convert to fraction form
    274,345.87/411,476.36 = 105,841.62/x
  3. Step 3: Cross multiply
    274,345.87x = 411,476.36 × 105,841.62
  4. Step 4: Simplify right side
    274,345.87x = 43,551,324,004.90
  5. Step 5: Solve for x
    x = 43,551,324,004.90/274,345.87
  6. Step 6: Final answer
    x = 158,746.05

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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.