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Finding the Fourth Proportional to 106,140, 146,473.92 and 57,742.36

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Solution

The fourth proportional to 106,140, 146,473.92 and 57,742.36 is: 79,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140 : 146,473.92 = 57,742.36 : x
  2. Step 2: Convert to fraction form
    106,140/146,473.92 = 57,742.36/x
  3. Step 3: Cross multiply
    106,140x = 146,473.92 × 57,742.36
  4. Step 4: Simplify right side
    106,140x = 8,457,749,819.25
  5. Step 5: Solve for x
    x = 8,457,749,819.25/106,140
  6. Step 6: Final answer
    x = 79,684.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.