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Finding the Fourth Proportional to 256,418.58, 353,854.26 and 141,697.02

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Solution

The fourth proportional to 256,418.58, 353,854.26 and 141,697.02 is: 195,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,418.58 : 353,854.26 = 141,697.02 : x
  2. Step 2: Convert to fraction form
    256,418.58/353,854.26 = 141,697.02/x
  3. Step 3: Cross multiply
    256,418.58x = 353,854.26 × 141,697.02
  4. Step 4: Simplify right side
    256,418.58x = 50,140,094,156.31
  5. Step 5: Solve for x
    x = 50,140,094,156.31/256,418.58
  6. Step 6: Final answer
    x = 195,540.02

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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.