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Finding the Fourth Proportional to 514,886.88, 772,382.22 and 135,833.82

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Solution

The fourth proportional to 514,886.88, 772,382.22 and 135,833.82 is: 203,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,886.88 : 772,382.22 = 135,833.82 : x
  2. Step 2: Convert to fraction form
    514,886.88/772,382.22 = 135,833.82/x
  3. Step 3: Cross multiply
    514,886.88x = 772,382.22 × 135,833.82
  4. Step 4: Simplify right side
    514,886.88x = 104,915,627,442.68
  5. Step 5: Solve for x
    x = 104,915,627,442.68/514,886.88
  6. Step 6: Final answer
    x = 203,764.42

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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.