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Finding the Fourth Proportional to 185,073.83, 277,698.97 and 100,832.12

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Solution

The fourth proportional to 185,073.83, 277,698.97 and 100,832.12 is: 151,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,073.83 : 277,698.97 = 100,832.12 : x
  2. Step 2: Convert to fraction form
    185,073.83/277,698.97 = 100,832.12/x
  3. Step 3: Cross multiply
    185,073.83x = 277,698.97 × 100,832.12
  4. Step 4: Simplify right side
    185,073.83x = 28,000,974,478.42
  5. Step 5: Solve for x
    x = 28,000,974,478.42/185,073.83
  6. Step 6: Final answer
    x = 151,296.24

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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.