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Finding the Fourth Proportional to 256,599.34, 354,117.90 and 143,422

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Solution

The fourth proportional to 256,599.34, 354,117.90 and 143,422 is: 197,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,599.34 : 354,117.90 = 143,422 : x
  2. Step 2: Convert to fraction form
    256,599.34/354,117.90 = 143,422/x
  3. Step 3: Cross multiply
    256,599.34x = 354,117.90 × 143,422
  4. Step 4: Simplify right side
    256,599.34x = 50,788,297,453.80
  5. Step 5: Solve for x
    x = 50,788,297,453.80/256,599.34
  6. Step 6: Final answer
    x = 197,928.40

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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.