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Finding the Fourth Proportional to 176,297.80, 264,560.10 and 97,468.60

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Solution

The fourth proportional to 176,297.80, 264,560.10 and 97,468.60 is: 146,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,297.80 : 264,560.10 = 97,468.60 : x
  2. Step 2: Convert to fraction form
    176,297.80/264,560.10 = 97,468.60/x
  3. Step 3: Cross multiply
    176,297.80x = 264,560.10 × 97,468.60
  4. Step 4: Simplify right side
    176,297.80x = 25,786,302,562.86
  5. Step 5: Solve for x
    x = 25,786,302,562.86/176,297.80
  6. Step 6: Final answer
    x = 146,265.59

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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.