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Finding the Fourth Proportional to 137,129.24, 189,255.87 and 76,703.24

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Solution

The fourth proportional to 137,129.24, 189,255.87 and 76,703.24 is: 105,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,129.24 : 189,255.87 = 76,703.24 : x
  2. Step 2: Convert to fraction form
    137,129.24/189,255.87 = 76,703.24/x
  3. Step 3: Cross multiply
    137,129.24x = 189,255.87 × 76,703.24
  4. Step 4: Simplify right side
    137,129.24x = 14,516,537,471.74
  5. Step 5: Solve for x
    x = 14,516,537,471.74/137,129.24
  6. Step 6: Final answer
    x = 105,860.27

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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.