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Finding the Fourth Proportional to 146,442.76, 202,088.82 and 82,778.32

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Solution

The fourth proportional to 146,442.76, 202,088.82 and 82,778.32 is: 114,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,442.76 : 202,088.82 = 82,778.32 : x
  2. Step 2: Convert to fraction form
    146,442.76/202,088.82 = 82,778.32/x
  3. Step 3: Cross multiply
    146,442.76x = 202,088.82 × 82,778.32
  4. Step 4: Simplify right side
    146,442.76x = 16,728,573,010.38
  5. Step 5: Solve for x
    x = 16,728,573,010.38/146,442.76
  6. Step 6: Final answer
    x = 114,232.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.