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Finding the Fourth Proportional to 185,705.46, 256,273.53 and 100,822.53

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Solution

The fourth proportional to 185,705.46, 256,273.53 and 100,822.53 is: 139,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,705.46 : 256,273.53 = 100,822.53 : x
  2. Step 2: Convert to fraction form
    185,705.46/256,273.53 = 100,822.53/x
  3. Step 3: Cross multiply
    185,705.46x = 256,273.53 × 100,822.53
  4. Step 4: Simplify right side
    185,705.46x = 25,838,145,666.63
  5. Step 5: Solve for x
    x = 25,838,145,666.63/185,705.46
  6. Step 6: Final answer
    x = 139,135.09

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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.