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Finding the Fourth Proportional to 133,023, 183,571.98 and 73,407

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Solution

The fourth proportional to 133,023, 183,571.98 and 73,407 is: 101,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023 : 183,571.98 = 73,407 : x
  2. Step 2: Convert to fraction form
    133,023/183,571.98 = 73,407/x
  3. Step 3: Cross multiply
    133,023x = 183,571.98 × 73,407
  4. Step 4: Simplify right side
    133,023x = 13,475,468,335.86
  5. Step 5: Solve for x
    x = 13,475,468,335.86/133,023
  6. Step 6: Final answer
    x = 101,301.79

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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.