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Finding the Fourth Proportional to 185,102.29, 277,653.44 and 44,860.91

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Solution

The fourth proportional to 185,102.29, 277,653.44 and 44,860.91 is: 67,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,102.29 : 277,653.44 = 44,860.91 : x
  2. Step 2: Convert to fraction form
    185,102.29/277,653.44 = 44,860.91/x
  3. Step 3: Cross multiply
    185,102.29x = 277,653.44 × 44,860.91
  4. Step 4: Simplify right side
    185,102.29x = 12,455,786,789.32
  5. Step 5: Solve for x
    x = 12,455,786,789.32/185,102.29
  6. Step 6: Final answer
    x = 67,291.37

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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.