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Finding the Fourth Proportional to 197,131.40, 295,697.10 and 84,865.40

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Solution

The fourth proportional to 197,131.40, 295,697.10 and 84,865.40 is: 127,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,131.40 : 295,697.10 = 84,865.40 : x
  2. Step 2: Convert to fraction form
    197,131.40/295,697.10 = 84,865.40/x
  3. Step 3: Cross multiply
    197,131.40x = 295,697.10 × 84,865.40
  4. Step 4: Simplify right side
    197,131.40x = 25,094,452,670.34
  5. Step 5: Solve for x
    x = 25,094,452,670.34/197,131.40
  6. Step 6: Final answer
    x = 127,298.10

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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.