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Finding the Fourth Proportional to 136,997, 205,495.50 and 38,501

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Solution

The fourth proportional to 136,997, 205,495.50 and 38,501 is: 57,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,997 : 205,495.50 = 38,501 : x
  2. Step 2: Convert to fraction form
    136,997/205,495.50 = 38,501/x
  3. Step 3: Cross multiply
    136,997x = 205,495.50 × 38,501
  4. Step 4: Simplify right side
    136,997x = 7,911,782,245.50
  5. Step 5: Solve for x
    x = 7,911,782,245.50/136,997
  6. Step 6: Final answer
    x = 57,751.50

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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.