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Finding the Fourth Proportional to 185,770.68, 256,365.42 and 100,889.40

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Solution

The fourth proportional to 185,770.68, 256,365.42 and 100,889.40 is: 139,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,770.68 : 256,365.42 = 100,889.40 : x
  2. Step 2: Convert to fraction form
    185,770.68/256,365.42 = 100,889.40/x
  3. Step 3: Cross multiply
    185,770.68x = 256,365.42 × 100,889.40
  4. Step 4: Simplify right side
    185,770.68x = 25,864,553,404.55
  5. Step 5: Solve for x
    x = 25,864,553,404.55/185,770.68
  6. Step 6: Final answer
    x = 139,228.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.