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Finding the Fourth Proportional to 292,020.50, 438,078.14 and 114,431.24

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Solution

The fourth proportional to 292,020.50, 438,078.14 and 114,431.24 is: 171,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,020.50 : 438,078.14 = 114,431.24 : x
  2. Step 2: Convert to fraction form
    292,020.50/438,078.14 = 114,431.24/x
  3. Step 3: Cross multiply
    292,020.50x = 438,078.14 × 114,431.24
  4. Step 4: Simplify right side
    292,020.50x = 50,129,824,777.09
  5. Step 5: Solve for x
    x = 50,129,824,777.09/292,020.50
  6. Step 6: Final answer
    x = 171,665.43

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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.