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Finding the Fourth Proportional to 161,459.19, 242,188.92 and 77,199.54

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Solution

The fourth proportional to 161,459.19, 242,188.92 and 77,199.54 is: 115,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,459.19 : 242,188.92 = 77,199.54 : x
  2. Step 2: Convert to fraction form
    161,459.19/242,188.92 = 77,199.54/x
  3. Step 3: Cross multiply
    161,459.19x = 242,188.92 × 77,199.54
  4. Step 4: Simplify right side
    161,459.19x = 18,696,873,217.10
  5. Step 5: Solve for x
    x = 18,696,873,217.10/161,459.19
  6. Step 6: Final answer
    x = 115,799.37

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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.