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Finding the Fourth Proportional to 257,976.12, 355,987.52 and 144,777

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Solution

The fourth proportional to 257,976.12, 355,987.52 and 144,777 is: 199,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,976.12 : 355,987.52 = 144,777 : x
  2. Step 2: Convert to fraction form
    257,976.12/355,987.52 = 144,777/x
  3. Step 3: Cross multiply
    257,976.12x = 355,987.52 × 144,777
  4. Step 4: Simplify right side
    257,976.12x = 51,538,804,459.16
  5. Step 5: Solve for x
    x = 51,538,804,459.16/257,976.12
  6. Step 6: Final answer
    x = 199,781.30

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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.