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Finding the Fourth Proportional to 137,172.48, 189,296.32 and 76,742.92

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Solution

The fourth proportional to 137,172.48, 189,296.32 and 76,742.92 is: 105,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,172.48 : 189,296.32 = 76,742.92 : x
  2. Step 2: Convert to fraction form
    137,172.48/189,296.32 = 76,742.92/x
  3. Step 3: Cross multiply
    137,172.48x = 189,296.32 × 76,742.92
  4. Step 4: Simplify right side
    137,172.48x = 14,527,152,342.05
  5. Step 5: Solve for x
    x = 14,527,152,342.05/137,172.48
  6. Step 6: Final answer
    x = 105,904.28

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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.