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Finding the Fourth Proportional to 133,377.38, 184,058.19 and 72,947.84

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Solution

The fourth proportional to 133,377.38, 184,058.19 and 72,947.84 is: 100,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,377.38 : 184,058.19 = 72,947.84 : x
  2. Step 2: Convert to fraction form
    133,377.38/184,058.19 = 72,947.84/x
  3. Step 3: Cross multiply
    133,377.38x = 184,058.19 × 72,947.84
  4. Step 4: Simplify right side
    133,377.38x = 13,426,646,474.52
  5. Step 5: Solve for x
    x = 13,426,646,474.52/133,377.38
  6. Step 6: Final answer
    x = 100,666.59

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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.