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Finding the Fourth Proportional to 230,057.03, 317,396.53 and 133,208.03

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Solution

The fourth proportional to 230,057.03, 317,396.53 and 133,208.03 is: 183,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,057.03 : 317,396.53 = 133,208.03 : x
  2. Step 2: Convert to fraction form
    230,057.03/317,396.53 = 133,208.03/x
  3. Step 3: Cross multiply
    230,057.03x = 317,396.53 × 133,208.03
  4. Step 4: Simplify right side
    230,057.03x = 42,279,765,664.78
  5. Step 5: Solve for x
    x = 42,279,765,664.78/230,057.03
  6. Step 6: Final answer
    x = 183,779.50

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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.