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Finding the Fourth Proportional to 228,792.69, 342,984.92 and 116,410.05

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Solution

The fourth proportional to 228,792.69, 342,984.92 and 116,410.05 is: 174,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,792.69 : 342,984.92 = 116,410.05 : x
  2. Step 2: Convert to fraction form
    228,792.69/342,984.92 = 116,410.05/x
  3. Step 3: Cross multiply
    228,792.69x = 342,984.92 × 116,410.05
  4. Step 4: Simplify right side
    228,792.69x = 39,926,891,104.40
  5. Step 5: Solve for x
    x = 39,926,891,104.40/228,792.69
  6. Step 6: Final answer
    x = 174,511.22

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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.