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Finding the Fourth Proportional to 233,853.60, 350,838 and 67,658.40

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Solution

The fourth proportional to 233,853.60, 350,838 and 67,658.40 is: 101,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,853.60 : 350,838 = 67,658.40 : x
  2. Step 2: Convert to fraction form
    233,853.60/350,838 = 67,658.40/x
  3. Step 3: Cross multiply
    233,853.60x = 350,838 × 67,658.40
  4. Step 4: Simplify right side
    233,853.60x = 23,737,137,739.20
  5. Step 5: Solve for x
    x = 23,737,137,739.20/233,853.60
  6. Step 6: Final answer
    x = 101,504.26

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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.