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Finding the Fourth Proportional to 230,404.01, 345,605.75 and 64,192.01

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Solution

The fourth proportional to 230,404.01, 345,605.75 and 64,192.01 is: 96,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,404.01 : 345,605.75 = 64,192.01 : x
  2. Step 2: Convert to fraction form
    230,404.01/345,605.75 = 64,192.01/x
  3. Step 3: Cross multiply
    230,404.01x = 345,605.75 × 64,192.01
  4. Step 4: Simplify right side
    230,404.01x = 22,185,127,439.10
  5. Step 5: Solve for x
    x = 22,185,127,439.10/230,404.01
  6. Step 6: Final answer
    x = 96,287.94

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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.