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Finding the Fourth Proportional to 348,084.53, 522,163.24 and 148,426.01

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Solution

The fourth proportional to 348,084.53, 522,163.24 and 148,426.01 is: 222,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,084.53 : 522,163.24 = 148,426.01 : x
  2. Step 2: Convert to fraction form
    348,084.53/522,163.24 = 148,426.01/x
  3. Step 3: Cross multiply
    348,084.53x = 522,163.24 × 148,426.01
  4. Step 4: Simplify right side
    348,084.53x = 77,502,606,281.87
  5. Step 5: Solve for x
    x = 77,502,606,281.87/348,084.53
  6. Step 6: Final answer
    x = 222,654.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.