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Finding the Fourth Proportional to 260,222.53, 390,335.01 and 80,305.74

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Solution

The fourth proportional to 260,222.53, 390,335.01 and 80,305.74 is: 120,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,222.53 : 390,335.01 = 80,305.74 : x
  2. Step 2: Convert to fraction form
    260,222.53/390,335.01 = 80,305.74/x
  3. Step 3: Cross multiply
    260,222.53x = 390,335.01 × 80,305.74
  4. Step 4: Simplify right side
    260,222.53x = 31,346,139,874.28
  5. Step 5: Solve for x
    x = 31,346,139,874.28/260,222.53
  6. Step 6: Final answer
    x = 120,458.98

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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.