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Finding the Fourth Proportional to 258,867.08, 388,142.05 and 100,911

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Solution

The fourth proportional to 258,867.08, 388,142.05 and 100,911 is: 151,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,867.08 : 388,142.05 = 100,911 : x
  2. Step 2: Convert to fraction form
    258,867.08/388,142.05 = 100,911/x
  3. Step 3: Cross multiply
    258,867.08x = 388,142.05 × 100,911
  4. Step 4: Simplify right side
    258,867.08x = 39,167,802,407.55
  5. Step 5: Solve for x
    x = 39,167,802,407.55/258,867.08
  6. Step 6: Final answer
    x = 151,304.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.