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Finding the Fourth Proportional to 133,203.93, 183,821.56 and 72,775.58

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Solution

The fourth proportional to 133,203.93, 183,821.56 and 72,775.58 is: 100,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,203.93 : 183,821.56 = 72,775.58 : x
  2. Step 2: Convert to fraction form
    133,203.93/183,821.56 = 72,775.58/x
  3. Step 3: Cross multiply
    133,203.93x = 183,821.56 × 72,775.58
  4. Step 4: Simplify right side
    133,203.93x = 13,377,720,645.50
  5. Step 5: Solve for x
    x = 13,377,720,645.50/133,203.93
  6. Step 6: Final answer
    x = 100,430.38

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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.