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Finding the Fourth Proportional to 268,272.30, 402,462.45 and 78,732.30

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Solution

The fourth proportional to 268,272.30, 402,462.45 and 78,732.30 is: 118,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272.30 : 402,462.45 = 78,732.30 : x
  2. Step 2: Convert to fraction form
    268,272.30/402,462.45 = 78,732.30/x
  3. Step 3: Cross multiply
    268,272.30x = 402,462.45 × 78,732.30
  4. Step 4: Simplify right side
    268,272.30x = 31,686,794,352.14
  5. Step 5: Solve for x
    x = 31,686,794,352.14/268,272.30
  6. Step 6: Final answer
    x = 118,114.30

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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.