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Finding the Fourth Proportional to 213,149.36, 319,729.50 and 100,882.14

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Solution

The fourth proportional to 213,149.36, 319,729.50 and 100,882.14 is: 151,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,149.36 : 319,729.50 = 100,882.14 : x
  2. Step 2: Convert to fraction form
    213,149.36/319,729.50 = 100,882.14/x
  3. Step 3: Cross multiply
    213,149.36x = 319,729.50 × 100,882.14
  4. Step 4: Simplify right side
    213,149.36x = 32,254,996,181.13
  5. Step 5: Solve for x
    x = 32,254,996,181.13/213,149.36
  6. Step 6: Final answer
    x = 151,325.80

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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.