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Finding the Fourth Proportional to 254,902.40, 351,764.16 and 141,718.40

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Solution

The fourth proportional to 254,902.40, 351,764.16 and 141,718.40 is: 195,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,902.40 : 351,764.16 = 141,718.40 : x
  2. Step 2: Convert to fraction form
    254,902.40/351,764.16 = 141,718.40/x
  3. Step 3: Cross multiply
    254,902.40x = 351,764.16 × 141,718.40
  4. Step 4: Simplify right side
    254,902.40x = 49,851,453,932.54
  5. Step 5: Solve for x
    x = 49,851,453,932.54/254,902.40
  6. Step 6: Final answer
    x = 195,570.75

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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.