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Finding the Fourth Proportional to 255,538.32, 352,643.40 and 142,365.12

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Solution

The fourth proportional to 255,538.32, 352,643.40 and 142,365.12 is: 196,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,538.32 : 352,643.40 = 142,365.12 : x
  2. Step 2: Convert to fraction form
    255,538.32/352,643.40 = 142,365.12/x
  3. Step 3: Cross multiply
    255,538.32x = 352,643.40 × 142,365.12
  4. Step 4: Simplify right side
    255,538.32x = 50,204,119,958.21
  5. Step 5: Solve for x
    x = 50,204,119,958.21/255,538.32
  6. Step 6: Final answer
    x = 196,464.15

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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.