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Finding the Fourth Proportional to 146,270, 219,405.03 and 35,462

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Solution

The fourth proportional to 146,270, 219,405.03 and 35,462 is: 53,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,270 : 219,405.03 = 35,462 : x
  2. Step 2: Convert to fraction form
    146,270/219,405.03 = 35,462/x
  3. Step 3: Cross multiply
    146,270x = 219,405.03 × 35,462
  4. Step 4: Simplify right side
    146,270x = 7,780,541,173.86
  5. Step 5: Solve for x
    x = 7,780,541,173.86/146,270
  6. Step 6: Final answer
    x = 53,193.01

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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.