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Finding the Fourth Proportional to 122,871, 184,285.90 and 34,133.47

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Solution

The fourth proportional to 122,871, 184,285.90 and 34,133.47 is: 51,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,871 : 184,285.90 = 34,133.47 : x
  2. Step 2: Convert to fraction form
    122,871/184,285.90 = 34,133.47/x
  3. Step 3: Cross multiply
    122,871x = 184,285.90 × 34,133.47
  4. Step 4: Simplify right side
    122,871x = 6,290,317,239.07
  5. Step 5: Solve for x
    x = 6,290,317,239.07/122,871
  6. Step 6: Final answer
    x = 51,194.48

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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.