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Finding the Fourth Proportional to 195,301, 269,512.96 and 114,735.87

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Solution

The fourth proportional to 195,301, 269,512.96 and 114,735.87 is: 158,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,301 : 269,512.96 = 114,735.87 : x
  2. Step 2: Convert to fraction form
    195,301/269,512.96 = 114,735.87/x
  3. Step 3: Cross multiply
    195,301x = 269,512.96 × 114,735.87
  4. Step 4: Simplify right side
    195,301x = 30,922,803,941.88
  5. Step 5: Solve for x
    x = 30,922,803,941.88/195,301
  6. Step 6: Final answer
    x = 158,334.08

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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.