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Finding the Fourth Proportional to 265,834.62, 398,751.93 and 78,844.50

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Solution

The fourth proportional to 265,834.62, 398,751.93 and 78,844.50 is: 118,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,834.62 : 398,751.93 = 78,844.50 : x
  2. Step 2: Convert to fraction form
    265,834.62/398,751.93 = 78,844.50/x
  3. Step 3: Cross multiply
    265,834.62x = 398,751.93 × 78,844.50
  4. Step 4: Simplify right side
    265,834.62x = 31,439,396,544.89
  5. Step 5: Solve for x
    x = 31,439,396,544.89/265,834.62
  6. Step 6: Final answer
    x = 118,266.75

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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.