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Finding the Fourth Proportional to 197,238.50, 272,189.13 and 107,814.50

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Solution

The fourth proportional to 197,238.50, 272,189.13 and 107,814.50 is: 148,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,238.50 : 272,189.13 = 107,814.50 : x
  2. Step 2: Convert to fraction form
    197,238.50/272,189.13 = 107,814.50/x
  3. Step 3: Cross multiply
    197,238.50x = 272,189.13 × 107,814.50
  4. Step 4: Simplify right side
    197,238.50x = 29,345,934,956.39
  5. Step 5: Solve for x
    x = 29,345,934,956.39/197,238.50
  6. Step 6: Final answer
    x = 148,784.01

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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.