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Finding the Fourth Proportional to 155,436.69, 214,342.16 and 146,393.85

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Solution

The fourth proportional to 155,436.69, 214,342.16 and 146,393.85 is: 201,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,436.69 : 214,342.16 = 146,393.85 : x
  2. Step 2: Convert to fraction form
    155,436.69/214,342.16 = 146,393.85/x
  3. Step 3: Cross multiply
    155,436.69x = 214,342.16 × 146,393.85
  4. Step 4: Simplify right side
    155,436.69x = 31,378,373,287.75
  5. Step 5: Solve for x
    x = 31,378,373,287.75/155,436.69
  6. Step 6: Final answer
    x = 201,872.37

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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.