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Finding the Fourth Proportional to 159,220.64, 238,822.32 and 48,404

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Solution

The fourth proportional to 159,220.64, 238,822.32 and 48,404 is: 72,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,220.64 : 238,822.32 = 48,404 : x
  2. Step 2: Convert to fraction form
    159,220.64/238,822.32 = 48,404/x
  3. Step 3: Cross multiply
    159,220.64x = 238,822.32 × 48,404
  4. Step 4: Simplify right side
    159,220.64x = 11,559,955,577.28
  5. Step 5: Solve for x
    x = 11,559,955,577.28/159,220.64
  6. Step 6: Final answer
    x = 72,603.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.