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Finding the Fourth Proportional to 228,116, 342,193.12 and 84,061.04

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Solution

The fourth proportional to 228,116, 342,193.12 and 84,061.04 is: 126,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,116 : 342,193.12 = 84,061.04 : x
  2. Step 2: Convert to fraction form
    228,116/342,193.12 = 84,061.04/x
  3. Step 3: Cross multiply
    228,116x = 342,193.12 × 84,061.04
  4. Step 4: Simplify right side
    228,116x = 28,765,109,548.04
  5. Step 5: Solve for x
    x = 28,765,109,548.04/228,116
  6. Step 6: Final answer
    x = 126,098.61

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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.