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Finding the Fourth Proportional to 159,270, 238,905 and 48,462

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Solution

The fourth proportional to 159,270, 238,905 and 48,462 is: 72,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,270 : 238,905 = 48,462 : x
  2. Step 2: Convert to fraction form
    159,270/238,905 = 48,462/x
  3. Step 3: Cross multiply
    159,270x = 238,905 × 48,462
  4. Step 4: Simplify right side
    159,270x = 11,577,814,110
  5. Step 5: Solve for x
    x = 11,577,814,110/159,270
  6. Step 6: Final answer
    x = 72,693

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