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Finding the Fourth Proportional to 133,257.92, 183,893.76 and 72,827.84

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Solution

The fourth proportional to 133,257.92, 183,893.76 and 72,827.84 is: 100,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,257.92 : 183,893.76 = 72,827.84 : x
  2. Step 2: Convert to fraction form
    133,257.92/183,893.76 = 72,827.84/x
  3. Step 3: Cross multiply
    133,257.92x = 183,893.76 × 72,827.84
  4. Step 4: Simplify right side
    133,257.92x = 13,392,585,330.28
  5. Step 5: Solve for x
    x = 13,392,585,330.28/133,257.92
  6. Step 6: Final answer
    x = 100,501.23

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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.