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Finding the Fourth Proportional to 264,848, 365,490.24 and 145,616

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Solution

The fourth proportional to 264,848, 365,490.24 and 145,616 is: 200,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848 : 365,490.24 = 145,616 : x
  2. Step 2: Convert to fraction form
    264,848/365,490.24 = 145,616/x
  3. Step 3: Cross multiply
    264,848x = 365,490.24 × 145,616
  4. Step 4: Simplify right side
    264,848x = 53,221,226,787.84
  5. Step 5: Solve for x
    x = 53,221,226,787.84/264,848
  6. Step 6: Final answer
    x = 200,950.08

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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.