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Finding the Fourth Proportional to 185,889.91, 256,529.64 and 101,006.97

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Solution

The fourth proportional to 185,889.91, 256,529.64 and 101,006.97 is: 139,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,889.91 : 256,529.64 = 101,006.97 : x
  2. Step 2: Convert to fraction form
    185,889.91/256,529.64 = 101,006.97/x
  3. Step 3: Cross multiply
    185,889.91x = 256,529.64 × 101,006.97
  4. Step 4: Simplify right side
    185,889.91x = 25,911,281,651.59
  5. Step 5: Solve for x
    x = 25,911,281,651.59/185,889.91
  6. Step 6: Final answer
    x = 139,390.47

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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.