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Finding the Fourth Proportional to 342,228.84, 513,238.62 and 120,561

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Solution

The fourth proportional to 342,228.84, 513,238.62 and 120,561 is: 180,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,228.84 : 513,238.62 = 120,561 : x
  2. Step 2: Convert to fraction form
    342,228.84/513,238.62 = 120,561/x
  3. Step 3: Cross multiply
    342,228.84x = 513,238.62 × 120,561
  4. Step 4: Simplify right side
    342,228.84x = 61,876,561,265.82
  5. Step 5: Solve for x
    x = 61,876,561,265.82/342,228.84
  6. Step 6: Final answer
    x = 180,804.64

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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.