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Finding the Fourth Proportional to 178,241.10, 245,949.39 and 106,594.98

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Solution

The fourth proportional to 178,241.10, 245,949.39 and 106,594.98 is: 147,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,241.10 : 245,949.39 = 106,594.98 : x
  2. Step 2: Convert to fraction form
    178,241.10/245,949.39 = 106,594.98/x
  3. Step 3: Cross multiply
    178,241.10x = 245,949.39 × 106,594.98
  4. Step 4: Simplify right side
    178,241.10x = 26,216,970,308.06
  5. Step 5: Solve for x
    x = 26,216,970,308.06/178,241.10
  6. Step 6: Final answer
    x = 147,087.12

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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.