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Finding the Fourth Proportional to 133,894.96, 184,606.90 and 98,022.69

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Solution

The fourth proportional to 133,894.96, 184,606.90 and 98,022.69 is: 135,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,894.96 : 184,606.90 = 98,022.69 : x
  2. Step 2: Convert to fraction form
    133,894.96/184,606.90 = 98,022.69/x
  3. Step 3: Cross multiply
    133,894.96x = 184,606.90 × 98,022.69
  4. Step 4: Simplify right side
    133,894.96x = 18,095,664,685.50
  5. Step 5: Solve for x
    x = 18,095,664,685.50/133,894.96
  6. Step 6: Final answer
    x = 135,148.22

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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.