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Finding the Fourth Proportional to 137,023.49, 189,068.23 and 76,574.81

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Solution

The fourth proportional to 137,023.49, 189,068.23 and 76,574.81 is: 105,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023.49 : 189,068.23 = 76,574.81 : x
  2. Step 2: Convert to fraction form
    137,023.49/189,068.23 = 76,574.81/x
  3. Step 3: Cross multiply
    137,023.49x = 189,068.23 × 76,574.81
  4. Step 4: Simplify right side
    137,023.49x = 14,477,863,789.29
  5. Step 5: Solve for x
    x = 14,477,863,789.29/137,023.49
  6. Step 6: Final answer
    x = 105,659.72

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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.