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Finding the Fourth Proportional to 325,283.94, 448,892.22 and 182,078.10

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Solution

The fourth proportional to 325,283.94, 448,892.22 and 182,078.10 is: 251,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,283.94 : 448,892.22 = 182,078.10 : x
  2. Step 2: Convert to fraction form
    325,283.94/448,892.22 = 182,078.10/x
  3. Step 3: Cross multiply
    325,283.94x = 448,892.22 × 182,078.10
  4. Step 4: Simplify right side
    325,283.94x = 81,733,442,522.38
  5. Step 5: Solve for x
    x = 81,733,442,522.38/325,283.94
  6. Step 6: Final answer
    x = 251,267.99

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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.