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Finding the Fourth Proportional to 137,145.92, 189,271.04 and 76,722.24

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Solution

The fourth proportional to 137,145.92, 189,271.04 and 76,722.24 is: 105,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,145.92 : 189,271.04 = 76,722.24 : x
  2. Step 2: Convert to fraction form
    137,145.92/189,271.04 = 76,722.24/x
  3. Step 3: Cross multiply
    137,145.92x = 189,271.04 × 76,722.24
  4. Step 4: Simplify right side
    137,145.92x = 14,521,298,155.93
  5. Step 5: Solve for x
    x = 14,521,298,155.93/137,145.92
  6. Step 6: Final answer
    x = 105,882.10

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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.