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Finding the Fourth Proportional to 348,084.65, 522,163.43 and 148,426.13

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Solution

The fourth proportional to 348,084.65, 522,163.43 and 148,426.13 is: 222,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,084.65 : 522,163.43 = 148,426.13 : x
  2. Step 2: Convert to fraction form
    348,084.65/522,163.43 = 148,426.13/x
  3. Step 3: Cross multiply
    348,084.65x = 522,163.43 × 148,426.13
  4. Step 4: Simplify right side
    348,084.65x = 77,502,698,262.30
  5. Step 5: Solve for x
    x = 77,502,698,262.30/348,084.65
  6. Step 6: Final answer
    x = 222,654.74

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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.