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Finding the Fourth Proportional to 265,523.04, 398,284.56 and 78,519.96

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Solution

The fourth proportional to 265,523.04, 398,284.56 and 78,519.96 is: 117,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,523.04 : 398,284.56 = 78,519.96 : x
  2. Step 2: Convert to fraction form
    265,523.04/398,284.56 = 78,519.96/x
  3. Step 3: Cross multiply
    265,523.04x = 398,284.56 × 78,519.96
  4. Step 4: Simplify right side
    265,523.04x = 31,273,287,719.82
  5. Step 5: Solve for x
    x = 31,273,287,719.82/265,523.04
  6. Step 6: Final answer
    x = 117,779.94

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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.