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Finding the Fourth Proportional to 161,657.94, 242,523.09 and 49,348.14

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Solution

The fourth proportional to 161,657.94, 242,523.09 and 49,348.14 is: 74,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,657.94 : 242,523.09 = 49,348.14 : x
  2. Step 2: Convert to fraction form
    161,657.94/242,523.09 = 49,348.14/x
  3. Step 3: Cross multiply
    161,657.94x = 242,523.09 × 49,348.14
  4. Step 4: Simplify right side
    161,657.94x = 11,968,063,398.55
  5. Step 5: Solve for x
    x = 11,968,063,398.55/161,657.94
  6. Step 6: Final answer
    x = 74,033.25

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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.