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Finding the Fourth Proportional to 146,022.68, 219,061.06 and 46,208

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Solution

The fourth proportional to 146,022.68, 219,061.06 and 46,208 is: 69,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022.68 : 219,061.06 = 46,208 : x
  2. Step 2: Convert to fraction form
    146,022.68/219,061.06 = 46,208/x
  3. Step 3: Cross multiply
    146,022.68x = 219,061.06 × 46,208
  4. Step 4: Simplify right side
    146,022.68x = 10,122,373,460.48
  5. Step 5: Solve for x
    x = 10,122,373,460.48/146,022.68
  6. Step 6: Final answer
    x = 69,320.56

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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.