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Finding the Fourth Proportional to 158,769, 238,153.50 and 47,961

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Solution

The fourth proportional to 158,769, 238,153.50 and 47,961 is: 71,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,769 : 238,153.50 = 47,961 : x
  2. Step 2: Convert to fraction form
    158,769/238,153.50 = 47,961/x
  3. Step 3: Cross multiply
    158,769x = 238,153.50 × 47,961
  4. Step 4: Simplify right side
    158,769x = 11,422,080,013.50
  5. Step 5: Solve for x
    x = 11,422,080,013.50/158,769
  6. Step 6: Final answer
    x = 71,941.50

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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.