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Finding the Fourth Proportional to 258,280.49, 356,424.41 and 147,884.49

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Solution

The fourth proportional to 258,280.49, 356,424.41 and 147,884.49 is: 204,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,280.49 : 356,424.41 = 147,884.49 : x
  2. Step 2: Convert to fraction form
    258,280.49/356,424.41 = 147,884.49/x
  3. Step 3: Cross multiply
    258,280.49x = 356,424.41 × 147,884.49
  4. Step 4: Simplify right side
    258,280.49x = 52,709,642,466.11
  5. Step 5: Solve for x
    x = 52,709,642,466.11/258,280.49
  6. Step 6: Final answer
    x = 204,079.07

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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.