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Finding the Fourth Proportional to 185,741, 256,322.58 and 106,253

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Solution

The fourth proportional to 185,741, 256,322.58 and 106,253 is: 146,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,741 : 256,322.58 = 106,253 : x
  2. Step 2: Convert to fraction form
    185,741/256,322.58 = 106,253/x
  3. Step 3: Cross multiply
    185,741x = 256,322.58 × 106,253
  4. Step 4: Simplify right side
    185,741x = 27,235,043,092.74
  5. Step 5: Solve for x
    x = 27,235,043,092.74/185,741
  6. Step 6: Final answer
    x = 146,629.14

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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.