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Finding the Fourth Proportional to 263,792.44, 364,032.96 and 142,937

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Solution

The fourth proportional to 263,792.44, 364,032.96 and 142,937 is: 197,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,792.44 : 364,032.96 = 142,937 : x
  2. Step 2: Convert to fraction form
    263,792.44/364,032.96 = 142,937/x
  3. Step 3: Cross multiply
    263,792.44x = 364,032.96 × 142,937
  4. Step 4: Simplify right side
    263,792.44x = 52,033,779,203.52
  5. Step 5: Solve for x
    x = 52,033,779,203.52/263,792.44
  6. Step 6: Final answer
    x = 197,252.73

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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.