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Finding the Fourth Proportional to 178,552.32, 246,409.92 and 106,944

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Solution

The fourth proportional to 178,552.32, 246,409.92 and 106,944 is: 147,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,552.32 : 246,409.92 = 106,944 : x
  2. Step 2: Convert to fraction form
    178,552.32/246,409.92 = 106,944/x
  3. Step 3: Cross multiply
    178,552.32x = 246,409.92 × 106,944
  4. Step 4: Simplify right side
    178,552.32x = 26,352,062,484.48
  5. Step 5: Solve for x
    x = 26,352,062,484.48/178,552.32
  6. Step 6: Final answer
    x = 147,587.34

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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.