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Finding the Fourth Proportional to 133,482.98, 184,215.05 and 76,893.38

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Solution

The fourth proportional to 133,482.98, 184,215.05 and 76,893.38 is: 106,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,482.98 : 184,215.05 = 76,893.38 : x
  2. Step 2: Convert to fraction form
    133,482.98/184,215.05 = 76,893.38/x
  3. Step 3: Cross multiply
    133,482.98x = 184,215.05 × 76,893.38
  4. Step 4: Simplify right side
    133,482.98x = 14,164,916,535.83
  5. Step 5: Solve for x
    x = 14,164,916,535.83/133,482.98
  6. Step 6: Final answer
    x = 106,117.78

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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.