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Finding the Fourth Proportional to 164,096.78, 226,495.68 and 106,878.68

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Solution

The fourth proportional to 164,096.78, 226,495.68 and 106,878.68 is: 147,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096.78 : 226,495.68 = 106,878.68 : x
  2. Step 2: Convert to fraction form
    164,096.78/226,495.68 = 106,878.68/x
  3. Step 3: Cross multiply
    164,096.78x = 226,495.68 × 106,878.68
  4. Step 4: Simplify right side
    164,096.78x = 24,207,558,171.62
  5. Step 5: Solve for x
    x = 24,207,558,171.62/164,096.78
  6. Step 6: Final answer
    x = 147,520.01

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1.5x scale

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.