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Finding the Fourth Proportional to 133,905.78, 184,435.25 and 99,804.98

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Solution

The fourth proportional to 133,905.78, 184,435.25 and 99,804.98 is: 137,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905.78 : 184,435.25 = 99,804.98 : x
  2. Step 2: Convert to fraction form
    133,905.78/184,435.25 = 99,804.98/x
  3. Step 3: Cross multiply
    133,905.78x = 184,435.25 × 99,804.98
  4. Step 4: Simplify right side
    133,905.78x = 18,407,556,399.61
  5. Step 5: Solve for x
    x = 18,407,556,399.61/133,905.78
  6. Step 6: Final answer
    x = 137,466.48

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1.5x scale

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.