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Finding the Fourth Proportional to 186,204.96, 256,960.35 and 101,321.82

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Solution

The fourth proportional to 186,204.96, 256,960.35 and 101,321.82 is: 139,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,204.96 : 256,960.35 = 101,321.82 : x
  2. Step 2: Convert to fraction form
    186,204.96/256,960.35 = 101,321.82/x
  3. Step 3: Cross multiply
    186,204.96x = 256,960.35 × 101,321.82
  4. Step 4: Simplify right side
    186,204.96x = 26,035,690,329.84
  5. Step 5: Solve for x
    x = 26,035,690,329.84/186,204.96
  6. Step 6: Final answer
    x = 139,822.75

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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.