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Finding the Fourth Proportional to 256,442.90, 353,884.28 and 143,265.65

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Solution

The fourth proportional to 256,442.90, 353,884.28 and 143,265.65 is: 197,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.90 : 353,884.28 = 143,265.65 : x
  2. Step 2: Convert to fraction form
    256,442.90/353,884.28 = 143,265.65/x
  3. Step 3: Cross multiply
    256,442.90x = 353,884.28 × 143,265.65
  4. Step 4: Simplify right side
    256,442.90x = 50,699,458,913.23
  5. Step 5: Solve for x
    x = 50,699,458,913.23/256,442.90
  6. Step 6: Final answer
    x = 197,702.72

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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.