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Finding the Fourth Proportional to 147,991.49, 221,950.32 and 58,052.48

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Solution

The fourth proportional to 147,991.49, 221,950.32 and 58,052.48 is: 87,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,991.49 : 221,950.32 = 58,052.48 : x
  2. Step 2: Convert to fraction form
    147,991.49/221,950.32 = 58,052.48/x
  3. Step 3: Cross multiply
    147,991.49x = 221,950.32 × 58,052.48
  4. Step 4: Simplify right side
    147,991.49x = 12,884,765,403.04
  5. Step 5: Solve for x
    x = 12,884,765,403.04/147,991.49
  6. Step 6: Final answer
    x = 87,064.23

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Why These Related Problems?

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