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Finding the Fourth Proportional to 228,083.20, 342,092.40 and 78,330.40

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Solution

The fourth proportional to 228,083.20, 342,092.40 and 78,330.40 is: 117,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,083.20 : 342,092.40 = 78,330.40 : x
  2. Step 2: Convert to fraction form
    228,083.20/342,092.40 = 78,330.40/x
  3. Step 3: Cross multiply
    228,083.20x = 342,092.40 × 78,330.40
  4. Step 4: Simplify right side
    228,083.20x = 26,796,234,528.96
  5. Step 5: Solve for x
    x = 26,796,234,528.96/228,083.20
  6. Step 6: Final answer
    x = 117,484.47

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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.