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Finding the Fourth Proportional to 133,214.77, 183,834.21 and 72,784.11

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Solution

The fourth proportional to 133,214.77, 183,834.21 and 72,784.11 is: 100,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,214.77 : 183,834.21 = 72,784.11 : x
  2. Step 2: Convert to fraction form
    133,214.77/183,834.21 = 72,784.11/x
  3. Step 3: Cross multiply
    133,214.77x = 183,834.21 × 72,784.11
  4. Step 4: Simplify right side
    133,214.77x = 13,380,209,362.40
  5. Step 5: Solve for x
    x = 13,380,209,362.40/133,214.77
  6. Step 6: Final answer
    x = 100,440.88

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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.