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Finding the Fourth Proportional to 174,265.83, 260,218.36 and 138,323.90

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Solution

The fourth proportional to 174,265.83, 260,218.36 and 138,323.90 is: 206,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,265.83 : 260,218.36 = 138,323.90 : x
  2. Step 2: Convert to fraction form
    174,265.83/260,218.36 = 138,323.90/x
  3. Step 3: Cross multiply
    174,265.83x = 260,218.36 × 138,323.90
  4. Step 4: Simplify right side
    174,265.83x = 35,994,418,406.80
  5. Step 5: Solve for x
    x = 35,994,418,406.80/174,265.83
  6. Step 6: Final answer
    x = 206,548.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.