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Finding the Fourth Proportional to 151,523.67, 209,098.14 and 82,610.49

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Solution

The fourth proportional to 151,523.67, 209,098.14 and 82,610.49 is: 114,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,523.67 : 209,098.14 = 82,610.49 : x
  2. Step 2: Convert to fraction form
    151,523.67/209,098.14 = 82,610.49/x
  3. Step 3: Cross multiply
    151,523.67x = 209,098.14 × 82,610.49
  4. Step 4: Simplify right side
    151,523.67x = 17,273,699,803.49
  5. Step 5: Solve for x
    x = 17,273,699,803.49/151,523.67
  6. Step 6: Final answer
    x = 114,000.01

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1.5x scale

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.