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Finding the Fourth Proportional to 255,374.96, 352,414.14 and 140,651.42

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Solution

The fourth proportional to 255,374.96, 352,414.14 and 140,651.42 is: 194,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,374.96 : 352,414.14 = 140,651.42 : x
  2. Step 2: Convert to fraction form
    255,374.96/352,414.14 = 140,651.42/x
  3. Step 3: Cross multiply
    255,374.96x = 352,414.14 × 140,651.42
  4. Step 4: Simplify right side
    255,374.96x = 49,567,549,219.08
  5. Step 5: Solve for x
    x = 49,567,549,219.08/255,374.96
  6. Step 6: Final answer
    x = 194,097.14

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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.