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Finding the Fourth Proportional to 417,682.68, 626,524.02 and 102,135.84

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Solution

The fourth proportional to 417,682.68, 626,524.02 and 102,135.84 is: 153,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,682.68 : 626,524.02 = 102,135.84 : x
  2. Step 2: Convert to fraction form
    417,682.68/626,524.02 = 102,135.84/x
  3. Step 3: Cross multiply
    417,682.68x = 626,524.02 × 102,135.84
  4. Step 4: Simplify right side
    417,682.68x = 63,990,557,062.88
  5. Step 5: Solve for x
    x = 63,990,557,062.88/417,682.68
  6. Step 6: Final answer
    x = 153,203.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.