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Finding the Fourth Proportional to 251,981.38, 347,734.32 and 138,804.16

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Solution

The fourth proportional to 251,981.38, 347,734.32 and 138,804.16 is: 191,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,981.38 : 347,734.32 = 138,804.16 : x
  2. Step 2: Convert to fraction form
    251,981.38/347,734.32 = 138,804.16/x
  3. Step 3: Cross multiply
    251,981.38x = 347,734.32 × 138,804.16
  4. Step 4: Simplify right side
    251,981.38x = 48,266,970,190.77
  5. Step 5: Solve for x
    x = 48,266,970,190.77/251,981.38
  6. Step 6: Final answer
    x = 191,549.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.