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Finding the Fourth Proportional to 106,749.89, 160,119.06 and 54,158.02

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Solution

The fourth proportional to 106,749.89, 160,119.06 and 54,158.02 is: 81,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,749.89 : 160,119.06 = 54,158.02 : x
  2. Step 2: Convert to fraction form
    106,749.89/160,119.06 = 54,158.02/x
  3. Step 3: Cross multiply
    106,749.89x = 160,119.06 × 54,158.02
  4. Step 4: Simplify right side
    106,749.89x = 8,671,731,253.86
  5. Step 5: Solve for x
    x = 8,671,731,253.86/106,749.89
  6. Step 6: Final answer
    x = 81,234.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.