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Finding the Fourth Proportional to 146,002.68, 201,488.52 and 84,744.15

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Solution

The fourth proportional to 146,002.68, 201,488.52 and 84,744.15 is: 116,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,002.68 : 201,488.52 = 84,744.15 : x
  2. Step 2: Convert to fraction form
    146,002.68/201,488.52 = 84,744.15/x
  3. Step 3: Cross multiply
    146,002.68x = 201,488.52 × 84,744.15
  4. Step 4: Simplify right side
    146,002.68x = 17,074,973,362.16
  5. Step 5: Solve for x
    x = 17,074,973,362.16/146,002.68
  6. Step 6: Final answer
    x = 116,949.73

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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.