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Finding the Fourth Proportional to 137,092.08, 189,172.44 and 76,656.48

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Solution

The fourth proportional to 137,092.08, 189,172.44 and 76,656.48 is: 105,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,092.08 : 189,172.44 = 76,656.48 : x
  2. Step 2: Convert to fraction form
    137,092.08/189,172.44 = 76,656.48/x
  3. Step 3: Cross multiply
    137,092.08x = 189,172.44 × 76,656.48
  4. Step 4: Simplify right side
    137,092.08x = 14,501,293,363.41
  5. Step 5: Solve for x
    x = 14,501,293,363.41/137,092.08
  6. Step 6: Final answer
    x = 105,777.76

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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.