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Finding the Fourth Proportional to 122,916.40, 184,374.60 and 106,003.60

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Solution

The fourth proportional to 122,916.40, 184,374.60 and 106,003.60 is: 159,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,916.40 : 184,374.60 = 106,003.60 : x
  2. Step 2: Convert to fraction form
    122,916.40/184,374.60 = 106,003.60/x
  3. Step 3: Cross multiply
    122,916.40x = 184,374.60 × 106,003.60
  4. Step 4: Simplify right side
    122,916.40x = 19,544,371,348.56
  5. Step 5: Solve for x
    x = 19,544,371,348.56/122,916.40
  6. Step 6: Final answer
    x = 159,005.40

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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.