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Finding the Fourth Proportional to 133,247.66, 200,009.86 and 77,197.23

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Solution

The fourth proportional to 133,247.66, 200,009.86 and 77,197.23 is: 115,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,247.66 : 200,009.86 = 77,197.23 : x
  2. Step 2: Convert to fraction form
    133,247.66/200,009.86 = 77,197.23/x
  3. Step 3: Cross multiply
    133,247.66x = 200,009.86 × 77,197.23
  4. Step 4: Simplify right side
    133,247.66x = 15,440,206,971.69
  5. Step 5: Solve for x
    x = 15,440,206,971.69/133,247.66
  6. Step 6: Final answer
    x = 115,876.01

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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.