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Finding the Fourth Proportional to 178,154, 245,845.32 and 106,573.58

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Solution

The fourth proportional to 178,154, 245,845.32 and 106,573.58 is: 147,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,154 : 245,845.32 = 106,573.58 : x
  2. Step 2: Convert to fraction form
    178,154/245,845.32 = 106,573.58/x
  3. Step 3: Cross multiply
    178,154x = 245,845.32 × 106,573.58
  4. Step 4: Simplify right side
    178,154x = 26,200,615,878.65
  5. Step 5: Solve for x
    x = 26,200,615,878.65/178,154
  6. Step 6: Final answer
    x = 147,067.23

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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.