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Finding the Fourth Proportional to 180,098.96, 270,063.63 and 105,240.74

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Solution

The fourth proportional to 180,098.96, 270,063.63 and 105,240.74 is: 157,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,098.96 : 270,063.63 = 105,240.74 : x
  2. Step 2: Convert to fraction form
    180,098.96/270,063.63 = 105,240.74/x
  3. Step 3: Cross multiply
    180,098.96x = 270,063.63 × 105,240.74
  4. Step 4: Simplify right side
    180,098.96x = 28,421,694,917.97
  5. Step 5: Solve for x
    x = 28,421,694,917.97/180,098.96
  6. Step 6: Final answer
    x = 157,811.55

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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.