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Finding the Fourth Proportional to 114,357.60, 157,809.21 and 65,961.49

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Solution

The fourth proportional to 114,357.60, 157,809.21 and 65,961.49 is: 91,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,357.60 : 157,809.21 = 65,961.49 : x
  2. Step 2: Convert to fraction form
    114,357.60/157,809.21 = 65,961.49/x
  3. Step 3: Cross multiply
    114,357.60x = 157,809.21 × 65,961.49
  4. Step 4: Simplify right side
    114,357.60x = 10,409,330,627.32
  5. Step 5: Solve for x
    x = 10,409,330,627.32/114,357.60
  6. Step 6: Final answer
    x = 91,024.39

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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.