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Finding the Fourth Proportional to 230,189.85, 345,416.54 and 125,018.01

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Solution

The fourth proportional to 230,189.85, 345,416.54 and 125,018.01 is: 187,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,189.85 : 345,416.54 = 125,018.01 : x
  2. Step 2: Convert to fraction form
    230,189.85/345,416.54 = 125,018.01/x
  3. Step 3: Cross multiply
    230,189.85x = 345,416.54 × 125,018.01
  4. Step 4: Simplify right side
    230,189.85x = 43,183,287,826.80
  5. Step 5: Solve for x
    x = 43,183,287,826.80/230,189.85
  6. Step 6: Final answer
    x = 187,598.57

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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.