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Finding the Fourth Proportional to 175,878.80, 263,623.80 and 97,049.60

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Solution

The fourth proportional to 175,878.80, 263,623.80 and 97,049.60 is: 145,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,878.80 : 263,623.80 = 97,049.60 : x
  2. Step 2: Convert to fraction form
    175,878.80/263,623.80 = 97,049.60/x
  3. Step 3: Cross multiply
    175,878.80x = 263,623.80 × 97,049.60
  4. Step 4: Simplify right side
    175,878.80x = 25,584,584,340.48
  5. Step 5: Solve for x
    x = 25,584,584,340.48/175,878.80
  6. Step 6: Final answer
    x = 145,467.13

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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.