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Finding the Fourth Proportional to 197,135.59, 295,913.92 and 84,871.48

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Solution

The fourth proportional to 197,135.59, 295,913.92 and 84,871.48 is: 127,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,135.59 : 295,913.92 = 84,871.48 : x
  2. Step 2: Convert to fraction form
    197,135.59/295,913.92 = 84,871.48/x
  3. Step 3: Cross multiply
    197,135.59x = 295,913.92 × 84,871.48
  4. Step 4: Simplify right side
    197,135.59x = 25,114,652,343.00
  5. Step 5: Solve for x
    x = 25,114,652,343.00/197,135.59
  6. Step 6: Final answer
    x = 127,397.86

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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.