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Finding the Fourth Proportional to 133,925, 184,816.50 and 74,309

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Solution

The fourth proportional to 133,925, 184,816.50 and 74,309 is: 102,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,925 : 184,816.50 = 74,309 : x
  2. Step 2: Convert to fraction form
    133,925/184,816.50 = 74,309/x
  3. Step 3: Cross multiply
    133,925x = 184,816.50 × 74,309
  4. Step 4: Simplify right side
    133,925x = 13,733,529,298.50
  5. Step 5: Solve for x
    x = 13,733,529,298.50/133,925
  6. Step 6: Final answer
    x = 102,546.42

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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.