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Finding the Fourth Proportional to 133,893, 184,772.34 and 74,277

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Solution

The fourth proportional to 133,893, 184,772.34 and 74,277 is: 102,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,893 : 184,772.34 = 74,277 : x
  2. Step 2: Convert to fraction form
    133,893/184,772.34 = 74,277/x
  3. Step 3: Cross multiply
    133,893x = 184,772.34 × 74,277
  4. Step 4: Simplify right side
    133,893x = 13,724,335,098.18
  5. Step 5: Solve for x
    x = 13,724,335,098.18/133,893
  6. Step 6: Final answer
    x = 102,502.26

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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.