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Finding the Fourth Proportional to 178,813.50, 246,653.19 and 106,167.11

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Solution

The fourth proportional to 178,813.50, 246,653.19 and 106,167.11 is: 146,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,813.50 : 246,653.19 = 106,167.11 : x
  2. Step 2: Convert to fraction form
    178,813.50/246,653.19 = 106,167.11/x
  3. Step 3: Cross multiply
    178,813.50x = 246,653.19 × 106,167.11
  4. Step 4: Simplify right side
    178,813.50x = 26,186,455,121.32
  5. Step 5: Solve for x
    x = 26,186,455,121.32/178,813.50
  6. Step 6: Final answer
    x = 146,445.63

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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.