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Finding the Fourth Proportional to 245,943.30, 339,414.42 and 150,420

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Solution

The fourth proportional to 245,943.30, 339,414.42 and 150,420 is: 207,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,943.30 : 339,414.42 = 150,420 : x
  2. Step 2: Convert to fraction form
    245,943.30/339,414.42 = 150,420/x
  3. Step 3: Cross multiply
    245,943.30x = 339,414.42 × 150,420
  4. Step 4: Simplify right side
    245,943.30x = 51,054,717,056.40
  5. Step 5: Solve for x
    x = 51,054,717,056.40/245,943.30
  6. Step 6: Final answer
    x = 207,587.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.