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Finding the Fourth Proportional to 254,907.40, 351,771.06 and 141,723.40

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Solution

The fourth proportional to 254,907.40, 351,771.06 and 141,723.40 is: 195,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,907.40 : 351,771.06 = 141,723.40 : x
  2. Step 2: Convert to fraction form
    254,907.40/351,771.06 = 141,723.40/x
  3. Step 3: Cross multiply
    254,907.40x = 351,771.06 × 141,723.40
  4. Step 4: Simplify right side
    254,907.40x = 49,854,190,644.80
  5. Step 5: Solve for x
    x = 49,854,190,644.80/254,907.40
  6. Step 6: Final answer
    x = 195,577.65

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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.