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Finding the Fourth Proportional to 185,660.96, 278,722.88 and 184,808

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Solution

The fourth proportional to 185,660.96, 278,722.88 and 184,808 is: 277,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,660.96 : 278,722.88 = 184,808 : x
  2. Step 2: Convert to fraction form
    185,660.96/278,722.88 = 184,808/x
  3. Step 3: Cross multiply
    185,660.96x = 278,722.88 × 184,808
  4. Step 4: Simplify right side
    185,660.96x = 51,510,218,007.04
  5. Step 5: Solve for x
    x = 51,510,218,007.04/185,660.96
  6. Step 6: Final answer
    x = 277,442.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.