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Finding the Fourth Proportional to 133,294.89, 183,947.32 and 72,866.26

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Solution

The fourth proportional to 133,294.89, 183,947.32 and 72,866.26 is: 100,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,294.89 : 183,947.32 = 72,866.26 : x
  2. Step 2: Convert to fraction form
    133,294.89/183,947.32 = 72,866.26/x
  3. Step 3: Cross multiply
    133,294.89x = 183,947.32 × 72,866.26
  4. Step 4: Simplify right side
    133,294.89x = 13,403,553,245.42
  5. Step 5: Solve for x
    x = 13,403,553,245.42/133,294.89
  6. Step 6: Final answer
    x = 100,555.64

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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.