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Finding the Fourth Proportional to 133,994.91, 184,999.50 and 83,061.81

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Solution

The fourth proportional to 133,994.91, 184,999.50 and 83,061.81 is: 114,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,994.91 : 184,999.50 = 83,061.81 : x
  2. Step 2: Convert to fraction form
    133,994.91/184,999.50 = 83,061.81/x
  3. Step 3: Cross multiply
    133,994.91x = 184,999.50 × 83,061.81
  4. Step 4: Simplify right side
    133,994.91x = 15,366,393,319.10
  5. Step 5: Solve for x
    x = 15,366,393,319.10/133,994.91
  6. Step 6: Final answer
    x = 114,678.93

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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.