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Finding the Fourth Proportional to 133,212.30, 183,830.83 and 72,781.64

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Solution

The fourth proportional to 133,212.30, 183,830.83 and 72,781.64 is: 100,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.30 : 183,830.83 = 72,781.64 : x
  2. Step 2: Convert to fraction form
    133,212.30/183,830.83 = 72,781.64/x
  3. Step 3: Cross multiply
    133,212.30x = 183,830.83 × 72,781.64
  4. Step 4: Simplify right side
    133,212.30x = 13,379,509,385.63
  5. Step 5: Solve for x
    x = 13,379,509,385.63/133,212.30
  6. Step 6: Final answer
    x = 100,437.49

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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.