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Finding the Fourth Proportional to 137,193.35, 189,330.21 and 76,763.50

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Solution

The fourth proportional to 137,193.35, 189,330.21 and 76,763.50 is: 105,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,193.35 : 189,330.21 = 76,763.50 : x
  2. Step 2: Convert to fraction form
    137,193.35/189,330.21 = 76,763.50/x
  3. Step 3: Cross multiply
    137,193.35x = 189,330.21 × 76,763.50
  4. Step 4: Simplify right side
    137,193.35x = 14,533,649,102.01
  5. Step 5: Solve for x
    x = 14,533,649,102.01/137,193.35
  6. Step 6: Final answer
    x = 105,935.53

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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.