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Finding the Fourth Proportional to 233,152.20, 349,728.30 and 214,781.40

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Solution

The fourth proportional to 233,152.20, 349,728.30 and 214,781.40 is: 322,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,152.20 : 349,728.30 = 214,781.40 : x
  2. Step 2: Convert to fraction form
    233,152.20/349,728.30 = 214,781.40/x
  3. Step 3: Cross multiply
    233,152.20x = 349,728.30 × 214,781.40
  4. Step 4: Simplify right side
    233,152.20x = 75,115,133,893.62
  5. Step 5: Solve for x
    x = 75,115,133,893.62/233,152.20
  6. Step 6: Final answer
    x = 322,172.10

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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.