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Finding the Fourth Proportional to 147,314.56, 220,971.72 and 36,506.56

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Solution

The fourth proportional to 147,314.56, 220,971.72 and 36,506.56 is: 54,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314.56 : 220,971.72 = 36,506.56 : x
  2. Step 2: Convert to fraction form
    147,314.56/220,971.72 = 36,506.56/x
  3. Step 3: Cross multiply
    147,314.56x = 220,971.72 × 36,506.56
  4. Step 4: Simplify right side
    147,314.56x = 8,066,917,354.48
  5. Step 5: Solve for x
    x = 8,066,917,354.48/147,314.56
  6. Step 6: Final answer
    x = 54,759.81

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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.