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Finding the Fourth Proportional to 151,311.50, 208,739.76 and 97,613.82

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Solution

The fourth proportional to 151,311.50, 208,739.76 and 97,613.82 is: 134,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,311.50 : 208,739.76 = 97,613.82 : x
  2. Step 2: Convert to fraction form
    151,311.50/208,739.76 = 97,613.82/x
  3. Step 3: Cross multiply
    151,311.50x = 208,739.76 × 97,613.82
  4. Step 4: Simplify right side
    151,311.50x = 20,375,885,359.48
  5. Step 5: Solve for x
    x = 20,375,885,359.48/151,311.50
  6. Step 6: Final answer
    x = 134,661.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.