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Finding the Fourth Proportional to 137,442.96, 207,100.62 and 113,029.74

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Solution

The fourth proportional to 137,442.96, 207,100.62 and 113,029.74 is: 170,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,442.96 : 207,100.62 = 113,029.74 : x
  2. Step 2: Convert to fraction form
    137,442.96/207,100.62 = 113,029.74/x
  3. Step 3: Cross multiply
    137,442.96x = 207,100.62 × 113,029.74
  4. Step 4: Simplify right side
    137,442.96x = 23,408,529,232.44
  5. Step 5: Solve for x
    x = 23,408,529,232.44/137,442.96
  6. Step 6: Final answer
    x = 170,314.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.