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Finding the Fourth Proportional to 275,344.58, 413,140.77 and 148,836.69

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Solution

The fourth proportional to 275,344.58, 413,140.77 and 148,836.69 is: 223,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,344.58 : 413,140.77 = 148,836.69 : x
  2. Step 2: Convert to fraction form
    275,344.58/413,140.77 = 148,836.69/x
  3. Step 3: Cross multiply
    275,344.58x = 413,140.77 × 148,836.69
  4. Step 4: Simplify right side
    275,344.58x = 61,490,504,710.85
  5. Step 5: Solve for x
    x = 61,490,504,710.85/275,344.58
  6. Step 6: Final answer
    x = 223,322.01

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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.