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Finding the Fourth Proportional to 130,706.36, 196,066.82 and 37,204.82

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Solution

The fourth proportional to 130,706.36, 196,066.82 and 37,204.82 is: 55,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,706.36 : 196,066.82 = 37,204.82 : x
  2. Step 2: Convert to fraction form
    130,706.36/196,066.82 = 37,204.82/x
  3. Step 3: Cross multiply
    130,706.36x = 196,066.82 × 37,204.82
  4. Step 4: Simplify right side
    130,706.36x = 7,294,629,765.74
  5. Step 5: Solve for x
    x = 7,294,629,765.74/130,706.36
  6. Step 6: Final answer
    x = 55,809.30

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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.