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Finding the Fourth Proportional to 133,063.12, 199,560.60 and 39,547

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Solution

The fourth proportional to 133,063.12, 199,560.60 and 39,547 is: 59,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,063.12 : 199,560.60 = 39,547 : x
  2. Step 2: Convert to fraction form
    133,063.12/199,560.60 = 39,547/x
  3. Step 3: Cross multiply
    133,063.12x = 199,560.60 × 39,547
  4. Step 4: Simplify right side
    133,063.12x = 7,892,023,048.20
  5. Step 5: Solve for x
    x = 7,892,023,048.20/133,063.12
  6. Step 6: Final answer
    x = 59,310.37

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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.