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Finding the Fourth Proportional to 137,512.09, 189,778.54 and 77,094.39

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Solution

The fourth proportional to 137,512.09, 189,778.54 and 77,094.39 is: 106,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,512.09 : 189,778.54 = 77,094.39 : x
  2. Step 2: Convert to fraction form
    137,512.09/189,778.54 = 77,094.39/x
  3. Step 3: Cross multiply
    137,512.09x = 189,778.54 × 77,094.39
  4. Step 4: Simplify right side
    137,512.09x = 14,630,860,776.39
  5. Step 5: Solve for x
    x = 14,630,860,776.39/137,512.09
  6. Step 6: Final answer
    x = 106,396.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.