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Finding the Fourth Proportional to 122,903.94, 184,427.46 and 51,822.12

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Solution

The fourth proportional to 122,903.94, 184,427.46 and 51,822.12 is: 77,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,903.94 : 184,427.46 = 51,822.12 : x
  2. Step 2: Convert to fraction form
    122,903.94/184,427.46 = 51,822.12/x
  3. Step 3: Cross multiply
    122,903.94x = 184,427.46 × 51,822.12
  4. Step 4: Simplify right side
    122,903.94x = 9,557,421,963.42
  5. Step 5: Solve for x
    x = 9,557,421,963.42/122,903.94
  6. Step 6: Final answer
    x = 77,763.35

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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.