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Finding the Fourth Proportional to 130,910.45, 180,762.95 and 106,715.21

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Solution

The fourth proportional to 130,910.45, 180,762.95 and 106,715.21 is: 147,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,910.45 : 180,762.95 = 106,715.21 : x
  2. Step 2: Convert to fraction form
    130,910.45/180,762.95 = 106,715.21/x
  3. Step 3: Cross multiply
    130,910.45x = 180,762.95 × 106,715.21
  4. Step 4: Simplify right side
    130,910.45x = 19,290,156,169.47
  5. Step 5: Solve for x
    x = 19,290,156,169.47/130,910.45
  6. Step 6: Final answer
    x = 147,353.83

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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.