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Finding the Fourth Proportional to 176,343.80, 264,629.10 and 97,514.60

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Solution

The fourth proportional to 176,343.80, 264,629.10 and 97,514.60 is: 146,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,343.80 : 264,629.10 = 97,514.60 : x
  2. Step 2: Convert to fraction form
    176,343.80/264,629.10 = 97,514.60/x
  3. Step 3: Cross multiply
    176,343.80x = 264,629.10 × 97,514.60
  4. Step 4: Simplify right side
    176,343.80x = 25,805,200,834.86
  5. Step 5: Solve for x
    x = 25,805,200,834.86/176,343.80
  6. Step 6: Final answer
    x = 146,334.61

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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.