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Finding the Fourth Proportional to 146,586, 219,867.96 and 46,742.16

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Solution

The fourth proportional to 146,586, 219,867.96 and 46,742.16 is: 70,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,586 : 219,867.96 = 46,742.16 : x
  2. Step 2: Convert to fraction form
    146,586/219,867.96 = 46,742.16/x
  3. Step 3: Cross multiply
    146,586x = 219,867.96 × 46,742.16
  4. Step 4: Simplify right side
    146,586x = 10,277,103,365.19
  5. Step 5: Solve for x
    x = 10,277,103,365.19/146,586
  6. Step 6: Final answer
    x = 70,109.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.