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Finding the Fourth Proportional to 275,243.86, 412,862.10 and 75,564.01

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Solution

The fourth proportional to 275,243.86, 412,862.10 and 75,564.01 is: 113,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,243.86 : 412,862.10 = 75,564.01 : x
  2. Step 2: Convert to fraction form
    275,243.86/412,862.10 = 75,564.01/x
  3. Step 3: Cross multiply
    275,243.86x = 412,862.10 × 75,564.01
  4. Step 4: Simplify right side
    275,243.86x = 31,197,515,853.02
  5. Step 5: Solve for x
    x = 31,197,515,853.02/275,243.86
  6. Step 6: Final answer
    x = 113,345.00

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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.