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Finding the Fourth Proportional to 175,744.80, 263,730.60 and 96,915.60

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Solution

The fourth proportional to 175,744.80, 263,730.60 and 96,915.60 is: 145,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,744.80 : 263,730.60 = 96,915.60 : x
  2. Step 2: Convert to fraction form
    175,744.80/263,730.60 = 96,915.60/x
  3. Step 3: Cross multiply
    175,744.80x = 263,730.60 × 96,915.60
  4. Step 4: Simplify right side
    175,744.80x = 25,559,609,337.36
  5. Step 5: Solve for x
    x = 25,559,609,337.36/175,744.80
  6. Step 6: Final answer
    x = 145,435.94

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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.