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Finding the Fourth Proportional to 133,212.32, 183,830.86 and 72,781.66

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Solution

The fourth proportional to 133,212.32, 183,830.86 and 72,781.66 is: 100,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.32 : 183,830.86 = 72,781.66 : x
  2. Step 2: Convert to fraction form
    133,212.32/183,830.86 = 72,781.66/x
  3. Step 3: Cross multiply
    133,212.32x = 183,830.86 × 72,781.66
  4. Step 4: Simplify right side
    133,212.32x = 13,379,515,150.03
  5. Step 5: Solve for x
    x = 13,379,515,150.03/133,212.32
  6. Step 6: Final answer
    x = 100,437.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.