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Finding the Fourth Proportional to 131,196.80, 196,804.80 and 37,703.36

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Solution

The fourth proportional to 131,196.80, 196,804.80 and 37,703.36 is: 56,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,196.80 : 196,804.80 = 37,703.36 : x
  2. Step 2: Convert to fraction form
    131,196.80/196,804.80 = 37,703.36/x
  3. Step 3: Cross multiply
    131,196.80x = 196,804.80 × 37,703.36
  4. Step 4: Simplify right side
    131,196.80x = 7,420,202,224.13
  5. Step 5: Solve for x
    x = 7,420,202,224.13/131,196.80
  6. Step 6: Final answer
    x = 56,557.80

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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.