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Finding the Fourth Proportional to 147,101.40, 220,654.26 and 36,293.40

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Solution

The fourth proportional to 147,101.40, 220,654.26 and 36,293.40 is: 54,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,101.40 : 220,654.26 = 36,293.40 : x
  2. Step 2: Convert to fraction form
    147,101.40/220,654.26 = 36,293.40/x
  3. Step 3: Cross multiply
    147,101.40x = 220,654.26 × 36,293.40
  4. Step 4: Simplify right side
    147,101.40x = 8,008,293,319.88
  5. Step 5: Solve for x
    x = 8,008,293,319.88/147,101.40
  6. Step 6: Final answer
    x = 54,440.63

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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.