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Finding the Fourth Proportional to 231,199.92, 346,657.32 and 129,838.68

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Solution

The fourth proportional to 231,199.92, 346,657.32 and 129,838.68 is: 194,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,199.92 : 346,657.32 = 129,838.68 : x
  2. Step 2: Convert to fraction form
    231,199.92/346,657.32 = 129,838.68/x
  3. Step 3: Cross multiply
    231,199.92x = 346,657.32 × 129,838.68
  4. Step 4: Simplify right side
    231,199.92x = 45,009,528,841.14
  5. Step 5: Solve for x
    x = 45,009,528,841.14/231,199.92
  6. Step 6: Final answer
    x = 194,677.96

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