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Finding the Fourth Proportional to 137,113.39, 189,216.91 and 76,685.06

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Solution

The fourth proportional to 137,113.39, 189,216.91 and 76,685.06 is: 105,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,113.39 : 189,216.91 = 76,685.06 : x
  2. Step 2: Convert to fraction form
    137,113.39/189,216.91 = 76,685.06/x
  3. Step 3: Cross multiply
    137,113.39x = 189,216.91 × 76,685.06
  4. Step 4: Simplify right side
    137,113.39x = 14,510,110,665.26
  5. Step 5: Solve for x
    x = 14,510,110,665.26/137,113.39
  6. Step 6: Final answer
    x = 105,825.63

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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.