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Finding the Fourth Proportional to 133,214.34, 183,833.64 and 72,783.66

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Solution

The fourth proportional to 133,214.34, 183,833.64 and 72,783.66 is: 100,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,214.34 : 183,833.64 = 72,783.66 : x
  2. Step 2: Convert to fraction form
    133,214.34/183,833.64 = 72,783.66/x
  3. Step 3: Cross multiply
    133,214.34x = 183,833.64 × 72,783.66
  4. Step 4: Simplify right side
    133,214.34x = 13,380,085,150.32
  5. Step 5: Solve for x
    x = 13,380,085,150.32/133,214.34
  6. Step 6: Final answer
    x = 100,440.28

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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.