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Finding the Fourth Proportional to 166,140, 229,376.88 and 106,627.68

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Solution

The fourth proportional to 166,140, 229,376.88 and 106,627.68 is: 147,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,140 : 229,376.88 = 106,627.68 : x
  2. Step 2: Convert to fraction form
    166,140/229,376.88 = 106,627.68/x
  3. Step 3: Cross multiply
    166,140x = 229,376.88 × 106,627.68
  4. Step 4: Simplify right side
    166,140x = 24,457,924,560.04
  5. Step 5: Solve for x
    x = 24,457,924,560.04/166,140
  6. Step 6: Final answer
    x = 147,212.74

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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.