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Finding the Fourth Proportional to 185,906, 256,543.26 and 101,021.24

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Solution

The fourth proportional to 185,906, 256,543.26 and 101,021.24 is: 139,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906 : 256,543.26 = 101,021.24 : x
  2. Step 2: Convert to fraction form
    185,906/256,543.26 = 101,021.24/x
  3. Step 3: Cross multiply
    185,906x = 256,543.26 × 101,021.24
  4. Step 4: Simplify right side
    185,906x = 25,916,318,238.84
  5. Step 5: Solve for x
    x = 25,916,318,238.84/185,906
  6. Step 6: Final answer
    x = 139,405.50

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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.