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Finding the Fourth Proportional to 274,402.07, 411,696.53 and 148,054.31

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Solution

The fourth proportional to 274,402.07, 411,696.53 and 148,054.31 is: 222,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,402.07 : 411,696.53 = 148,054.31 : x
  2. Step 2: Convert to fraction form
    274,402.07/411,696.53 = 148,054.31/x
  3. Step 3: Cross multiply
    274,402.07x = 411,696.53 × 148,054.31
  4. Step 4: Simplify right side
    274,402.07x = 60,953,444,938.27
  5. Step 5: Solve for x
    x = 60,953,444,938.27/274,402.07
  6. Step 6: Final answer
    x = 222,131.87

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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.