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Finding the Fourth Proportional to 137,130.24, 189,257.25 and 76,704.24

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Solution

The fourth proportional to 137,130.24, 189,257.25 and 76,704.24 is: 105,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,130.24 : 189,257.25 = 76,704.24 : x
  2. Step 2: Convert to fraction form
    137,130.24/189,257.25 = 76,704.24/x
  3. Step 3: Cross multiply
    137,130.24x = 189,257.25 × 76,704.24
  4. Step 4: Simplify right side
    137,130.24x = 14,516,833,525.74
  5. Step 5: Solve for x
    x = 14,516,833,525.74/137,130.24
  6. Step 6: Final answer
    x = 105,861.65

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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.