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Finding the Fourth Proportional to 260,102.88, 358,957.44 and 145,387.44

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Solution

The fourth proportional to 260,102.88, 358,957.44 and 145,387.44 is: 200,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,102.88 : 358,957.44 = 145,387.44 : x
  2. Step 2: Convert to fraction form
    260,102.88/358,957.44 = 145,387.44/x
  3. Step 3: Cross multiply
    260,102.88x = 358,957.44 × 145,387.44
  4. Step 4: Simplify right side
    260,102.88x = 52,187,903,270.55
  5. Step 5: Solve for x
    x = 52,187,903,270.55/260,102.88
  6. Step 6: Final answer
    x = 200,643.31

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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.