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Finding the Fourth Proportional to 185,138.31, 277,707.47 and 44,896.94

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Solution

The fourth proportional to 185,138.31, 277,707.47 and 44,896.94 is: 67,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138.31 : 277,707.47 = 44,896.94 : x
  2. Step 2: Convert to fraction form
    185,138.31/277,707.47 = 44,896.94/x
  3. Step 3: Cross multiply
    185,138.31x = 277,707.47 × 44,896.94
  4. Step 4: Simplify right side
    185,138.31x = 12,468,214,005.12
  5. Step 5: Solve for x
    x = 12,468,214,005.12/185,138.31
  6. Step 6: Final answer
    x = 67,345.40

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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.