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Finding the Fourth Proportional to 147,040, 220,562.16 and 36,232

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Solution

The fourth proportional to 147,040, 220,562.16 and 36,232 is: 54,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,040 : 220,562.16 = 36,232 : x
  2. Step 2: Convert to fraction form
    147,040/220,562.16 = 36,232/x
  3. Step 3: Cross multiply
    147,040x = 220,562.16 × 36,232
  4. Step 4: Simplify right side
    147,040x = 7,991,408,181.12
  5. Step 5: Solve for x
    x = 7,991,408,181.12/147,040
  6. Step 6: Final answer
    x = 54,348.53

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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.