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Finding the Fourth Proportional to 133,741, 184,562.58 and 74,125

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Solution

The fourth proportional to 133,741, 184,562.58 and 74,125 is: 102,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,741 : 184,562.58 = 74,125 : x
  2. Step 2: Convert to fraction form
    133,741/184,562.58 = 74,125/x
  3. Step 3: Cross multiply
    133,741x = 184,562.58 × 74,125
  4. Step 4: Simplify right side
    133,741x = 13,680,701,242.50
  5. Step 5: Solve for x
    x = 13,680,701,242.50/133,741
  6. Step 6: Final answer
    x = 102,292.50

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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.