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Finding the Fourth Proportional to 265,863.47, 398,794.59 and 113,962.04

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Solution

The fourth proportional to 265,863.47, 398,794.59 and 113,962.04 is: 170,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,863.47 : 398,794.59 = 113,962.04 : x
  2. Step 2: Convert to fraction form
    265,863.47/398,794.59 = 113,962.04/x
  3. Step 3: Cross multiply
    265,863.47x = 398,794.59 × 113,962.04
  4. Step 4: Simplify right side
    265,863.47x = 45,447,444,518.87
  5. Step 5: Solve for x
    x = 45,447,444,518.87/265,863.47
  6. Step 6: Final answer
    x = 170,942.80

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Why These Related Problems?

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