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Finding the Fourth Proportional to 185,797.89, 256,402.44 and 100,914.98

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Solution

The fourth proportional to 185,797.89, 256,402.44 and 100,914.98 is: 139,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,797.89 : 256,402.44 = 100,914.98 : x
  2. Step 2: Convert to fraction form
    185,797.89/256,402.44 = 100,914.98/x
  3. Step 3: Cross multiply
    185,797.89x = 256,402.44 × 100,914.98
  4. Step 4: Simplify right side
    185,797.89x = 25,874,845,822.54
  5. Step 5: Solve for x
    x = 25,874,845,822.54/185,797.89
  6. Step 6: Final answer
    x = 139,263.40

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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.