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Finding the Fourth Proportional to 166,071, 229,281.66 and 106,558.68

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Solution

The fourth proportional to 166,071, 229,281.66 and 106,558.68 is: 147,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,071 : 229,281.66 = 106,558.68 : x
  2. Step 2: Convert to fraction form
    166,071/229,281.66 = 106,558.68/x
  3. Step 3: Cross multiply
    166,071x = 229,281.66 × 106,558.68
  4. Step 4: Simplify right side
    166,071x = 24,431,951,037.81
  5. Step 5: Solve for x
    x = 24,431,951,037.81/166,071
  6. Step 6: Final answer
    x = 147,117.50

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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.