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Finding the Fourth Proportional to 159,262.64, 238,929.48 and 48,463.28

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Solution

The fourth proportional to 159,262.64, 238,929.48 and 48,463.28 is: 72,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,262.64 : 238,929.48 = 48,463.28 : x
  2. Step 2: Convert to fraction form
    159,262.64/238,929.48 = 48,463.28/x
  3. Step 3: Cross multiply
    159,262.64x = 238,929.48 × 48,463.28
  4. Step 4: Simplify right side
    159,262.64x = 11,579,306,289.49
  5. Step 5: Solve for x
    x = 11,579,306,289.49/159,262.64
  6. Step 6: Final answer
    x = 72,705.73

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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.