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Finding the Fourth Proportional to 221,572.68, 305,768.73 and 120,970.68

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Solution

The fourth proportional to 221,572.68, 305,768.73 and 120,970.68 is: 166,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572.68 : 305,768.73 = 120,970.68 : x
  2. Step 2: Convert to fraction form
    221,572.68/305,768.73 = 120,970.68/x
  3. Step 3: Cross multiply
    221,572.68x = 305,768.73 × 120,970.68
  4. Step 4: Simplify right side
    221,572.68x = 36,989,051,190.84
  5. Step 5: Solve for x
    x = 36,989,051,190.84/221,572.68
  6. Step 6: Final answer
    x = 166,938.68

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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.