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Finding the Fourth Proportional to 133,203.38, 183,833.38 and 72,783.22

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Solution

The fourth proportional to 133,203.38, 183,833.38 and 72,783.22 is: 100,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,203.38 : 183,833.38 = 72,783.22 : x
  2. Step 2: Convert to fraction form
    133,203.38/183,833.38 = 72,783.22/x
  3. Step 3: Cross multiply
    133,203.38x = 183,833.38 × 72,783.22
  4. Step 4: Simplify right side
    133,203.38x = 13,379,984,420.72
  5. Step 5: Solve for x
    x = 13,379,984,420.72/133,203.38
  6. Step 6: Final answer
    x = 100,447.78

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1.5x scale

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.