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Finding the Fourth Proportional to 273,763.74, 410,727.60 and 105,299.10

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Solution

The fourth proportional to 273,763.74, 410,727.60 and 105,299.10 is: 157,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,763.74 : 410,727.60 = 105,299.10 : x
  2. Step 2: Convert to fraction form
    273,763.74/410,727.60 = 105,299.10/x
  3. Step 3: Cross multiply
    273,763.74x = 410,727.60 × 105,299.10
  4. Step 4: Simplify right side
    273,763.74x = 43,249,246,625.16
  5. Step 5: Solve for x
    x = 43,249,246,625.16/273,763.74
  6. Step 6: Final answer
    x = 157,980.19

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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.