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Finding the Fourth Proportional to 146,182, 219,274.08 and 35,374

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Solution

The fourth proportional to 146,182, 219,274.08 and 35,374 is: 53,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,182 : 219,274.08 = 35,374 : x
  2. Step 2: Convert to fraction form
    146,182/219,274.08 = 35,374/x
  3. Step 3: Cross multiply
    146,182x = 219,274.08 × 35,374
  4. Step 4: Simplify right side
    146,182x = 7,756,601,305.92
  5. Step 5: Solve for x
    x = 7,756,601,305.92/146,182
  6. Step 6: Final answer
    x = 53,061.26

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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.