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Finding the Fourth Proportional to 182,341, 251,643.20 and 101,784.20

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Solution

The fourth proportional to 182,341, 251,643.20 and 101,784.20 is: 140,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,341 : 251,643.20 = 101,784.20 : x
  2. Step 2: Convert to fraction form
    182,341/251,643.20 = 101,784.20/x
  3. Step 3: Cross multiply
    182,341x = 251,643.20 × 101,784.20
  4. Step 4: Simplify right side
    182,341x = 25,613,301,797.44
  5. Step 5: Solve for x
    x = 25,613,301,797.44/182,341
  6. Step 6: Final answer
    x = 140,469.24

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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.