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Finding the Fourth Proportional to 133,981, 184,894.50 and 83,709.16

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Solution

The fourth proportional to 133,981, 184,894.50 and 83,709.16 is: 115,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,981 : 184,894.50 = 83,709.16 : x
  2. Step 2: Convert to fraction form
    133,981/184,894.50 = 83,709.16/x
  3. Step 3: Cross multiply
    133,981x = 184,894.50 × 83,709.16
  4. Step 4: Simplify right side
    133,981x = 15,477,363,283.62
  5. Step 5: Solve for x
    x = 15,477,363,283.62/133,981
  6. Step 6: Final answer
    x = 115,519.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.