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Finding the Fourth Proportional to 175,409.60, 262,984.80 and 96,612.80

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Solution

The fourth proportional to 175,409.60, 262,984.80 and 96,612.80 is: 144,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,409.60 : 262,984.80 = 96,612.80 : x
  2. Step 2: Convert to fraction form
    175,409.60/262,984.80 = 96,612.80/x
  3. Step 3: Cross multiply
    175,409.60x = 262,984.80 × 96,612.80
  4. Step 4: Simplify right side
    175,409.60x = 25,407,697,885.44
  5. Step 5: Solve for x
    x = 25,407,697,885.44/175,409.60
  6. Step 6: Final answer
    x = 144,847.82

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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.