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Finding the Fourth Proportional to 155,183.49, 214,178.18 and 145,053

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Solution

The fourth proportional to 155,183.49, 214,178.18 and 145,053 is: 200,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,183.49 : 214,178.18 = 145,053 : x
  2. Step 2: Convert to fraction form
    155,183.49/214,178.18 = 145,053/x
  3. Step 3: Cross multiply
    155,183.49x = 214,178.18 × 145,053
  4. Step 4: Simplify right side
    155,183.49x = 31,067,186,818.28
  5. Step 5: Solve for x
    x = 31,067,186,818.28/155,183.49
  6. Step 6: Final answer
    x = 200,196.47

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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.