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Finding the Fourth Proportional to 275,345.58, 413,142.27 and 148,837.69

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Solution

The fourth proportional to 275,345.58, 413,142.27 and 148,837.69 is: 223,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,345.58 : 413,142.27 = 148,837.69 : x
  2. Step 2: Convert to fraction form
    275,345.58/413,142.27 = 148,837.69/x
  3. Step 3: Cross multiply
    275,345.58x = 413,142.27 × 148,837.69
  4. Step 4: Simplify right side
    275,345.58x = 61,491,141,108.16
  5. Step 5: Solve for x
    x = 61,491,141,108.16/275,345.58
  6. Step 6: Final answer
    x = 223,323.51

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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.