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Finding the Fourth Proportional to 137,143.14, 189,275.04 and 76,717.14

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Solution

The fourth proportional to 137,143.14, 189,275.04 and 76,717.14 is: 105,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,143.14 : 189,275.04 = 76,717.14 : x
  2. Step 2: Convert to fraction form
    137,143.14/189,275.04 = 76,717.14/x
  3. Step 3: Cross multiply
    137,143.14x = 189,275.04 × 76,717.14
  4. Step 4: Simplify right side
    137,143.14x = 14,520,639,742.19
  5. Step 5: Solve for x
    x = 14,520,639,742.19/137,143.14
  6. Step 6: Final answer
    x = 105,879.45

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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.