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Finding the Fourth Proportional to 289,137.31, 399,254.42 and 181,741.93

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Solution

The fourth proportional to 289,137.31, 399,254.42 and 181,741.93 is: 250,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,137.31 : 399,254.42 = 181,741.93 : x
  2. Step 2: Convert to fraction form
    289,137.31/399,254.42 = 181,741.93/x
  3. Step 3: Cross multiply
    289,137.31x = 399,254.42 × 181,741.93
  4. Step 4: Simplify right side
    289,137.31x = 72,561,268,851.83
  5. Step 5: Solve for x
    x = 72,561,268,851.83/289,137.31
  6. Step 6: Final answer
    x = 250,957.82

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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.