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Finding the Fourth Proportional to 186,212.25, 256,970.75 and 101,327.85

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Solution

The fourth proportional to 186,212.25, 256,970.75 and 101,327.85 is: 139,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,212.25 : 256,970.75 = 101,327.85 : x
  2. Step 2: Convert to fraction form
    186,212.25/256,970.75 = 101,327.85/x
  3. Step 3: Cross multiply
    186,212.25x = 256,970.75 × 101,327.85
  4. Step 4: Simplify right side
    186,212.25x = 26,038,293,103.75
  5. Step 5: Solve for x
    x = 26,038,293,103.75/186,212.25
  6. Step 6: Final answer
    x = 139,831.26

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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.