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Finding the Fourth Proportional to 122,916, 184,445.70 and 51,834.24

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Solution

The fourth proportional to 122,916, 184,445.70 and 51,834.24 is: 77,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,916 : 184,445.70 = 51,834.24 : x
  2. Step 2: Convert to fraction form
    122,916/184,445.70 = 51,834.24/x
  3. Step 3: Cross multiply
    122,916x = 184,445.70 × 51,834.24
  4. Step 4: Simplify right side
    122,916x = 9,560,602,680.77
  5. Step 5: Solve for x
    x = 9,560,602,680.77/122,916
  6. Step 6: Final answer
    x = 77,781.60

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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.