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Finding the Fourth Proportional to 161,967.60, 242,812.08 and 68,538.96

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Solution

The fourth proportional to 161,967.60, 242,812.08 and 68,538.96 is: 102,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,967.60 : 242,812.08 = 68,538.96 : x
  2. Step 2: Convert to fraction form
    161,967.60/242,812.08 = 68,538.96/x
  3. Step 3: Cross multiply
    161,967.60x = 242,812.08 × 68,538.96
  4. Step 4: Simplify right side
    161,967.60x = 16,642,087,438.64
  5. Step 5: Solve for x
    x = 16,642,087,438.64/161,967.60
  6. Step 6: Final answer
    x = 102,749.48

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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.