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Finding the Fourth Proportional to 292,403.09, 438,251.19 and 142,418.63

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Solution

The fourth proportional to 292,403.09, 438,251.19 and 142,418.63 is: 213,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,403.09 : 438,251.19 = 142,418.63 : x
  2. Step 2: Convert to fraction form
    292,403.09/438,251.19 = 142,418.63/x
  3. Step 3: Cross multiply
    292,403.09x = 438,251.19 × 142,418.63
  4. Step 4: Simplify right side
    292,403.09x = 62,415,131,884.41
  5. Step 5: Solve for x
    x = 62,415,131,884.41/292,403.09
  6. Step 6: Final answer
    x = 213,455.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.