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Finding the Fourth Proportional to 197,615.70, 272,710.33 and 106,971.64

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Solution

The fourth proportional to 197,615.70, 272,710.33 and 106,971.64 is: 147,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,615.70 : 272,710.33 = 106,971.64 : x
  2. Step 2: Convert to fraction form
    197,615.70/272,710.33 = 106,971.64/x
  3. Step 3: Cross multiply
    197,615.70x = 272,710.33 × 106,971.64
  4. Step 4: Simplify right side
    197,615.70x = 29,172,270,295.84
  5. Step 5: Solve for x
    x = 29,172,270,295.84/197,615.70
  6. Step 6: Final answer
    x = 147,621.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.