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Finding the Fourth Proportional to 133,840.42, 184,916.73 and 113,907.94

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Solution

The fourth proportional to 133,840.42, 184,916.73 and 113,907.94 is: 157,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,840.42 : 184,916.73 = 113,907.94 : x
  2. Step 2: Convert to fraction form
    133,840.42/184,916.73 = 113,907.94/x
  3. Step 3: Cross multiply
    133,840.42x = 184,916.73 × 113,907.94
  4. Step 4: Simplify right side
    133,840.42x = 21,063,483,785.84
  5. Step 5: Solve for x
    x = 21,063,483,785.84/133,840.42
  6. Step 6: Final answer
    x = 157,377.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.