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Finding the Fourth Proportional to 133,586, 184,348.68 and 73,970

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Solution

The fourth proportional to 133,586, 184,348.68 and 73,970 is: 102,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,586 : 184,348.68 = 73,970 : x
  2. Step 2: Convert to fraction form
    133,586/184,348.68 = 73,970/x
  3. Step 3: Cross multiply
    133,586x = 184,348.68 × 73,970
  4. Step 4: Simplify right side
    133,586x = 13,636,271,859.60
  5. Step 5: Solve for x
    x = 13,636,271,859.60/133,586
  6. Step 6: Final answer
    x = 102,078.60

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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.