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Finding the Fourth Proportional to 114,256.26, 157,675.32 and 65,831.49

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Solution

The fourth proportional to 114,256.26, 157,675.32 and 65,831.49 is: 90,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,256.26 : 157,675.32 = 65,831.49 : x
  2. Step 2: Convert to fraction form
    114,256.26/157,675.32 = 65,831.49/x
  3. Step 3: Cross multiply
    114,256.26x = 157,675.32 × 65,831.49
  4. Step 4: Simplify right side
    114,256.26x = 10,380,001,251.83
  5. Step 5: Solve for x
    x = 10,380,001,251.83/114,256.26
  6. Step 6: Final answer
    x = 90,848.42

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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.