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Finding the Fourth Proportional to 184,159.92, 254,061 and 116,123.28

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Solution

The fourth proportional to 184,159.92, 254,061 and 116,123.28 is: 160,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,159.92 : 254,061 = 116,123.28 : x
  2. Step 2: Convert to fraction form
    184,159.92/254,061 = 116,123.28/x
  3. Step 3: Cross multiply
    184,159.92x = 254,061 × 116,123.28
  4. Step 4: Simplify right side
    184,159.92x = 29,502,396,640.08
  5. Step 5: Solve for x
    x = 29,502,396,640.08/184,159.92
  6. Step 6: Final answer
    x = 160,199.88

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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.