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Finding the Fourth Proportional to 133,376.26, 184,052.42 and 72,935.16

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Solution

The fourth proportional to 133,376.26, 184,052.42 and 72,935.16 is: 100,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,376.26 : 184,052.42 = 72,935.16 : x
  2. Step 2: Convert to fraction form
    133,376.26/184,052.42 = 72,935.16/x
  3. Step 3: Cross multiply
    133,376.26x = 184,052.42 × 72,935.16
  4. Step 4: Simplify right side
    133,376.26x = 13,423,891,416.15
  5. Step 5: Solve for x
    x = 13,423,891,416.15/133,376.26
  6. Step 6: Final answer
    x = 100,646.78

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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.