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Finding the Fourth Proportional to 273,956.60, 410,643.30 and 105,411.80

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Solution

The fourth proportional to 273,956.60, 410,643.30 and 105,411.80 is: 158,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,956.60 : 410,643.30 = 105,411.80 : x
  2. Step 2: Convert to fraction form
    273,956.60/410,643.30 = 105,411.80/x
  3. Step 3: Cross multiply
    273,956.60x = 410,643.30 × 105,411.80
  4. Step 4: Simplify right side
    273,956.60x = 43,286,649,410.94
  5. Step 5: Solve for x
    x = 43,286,649,410.94/273,956.60
  6. Step 6: Final answer
    x = 158,005.50

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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.