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Finding the Fourth Proportional to 222,153.23, 306,570.54 and 120,178.45

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Solution

The fourth proportional to 222,153.23, 306,570.54 and 120,178.45 is: 165,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,153.23 : 306,570.54 = 120,178.45 : x
  2. Step 2: Convert to fraction form
    222,153.23/306,570.54 = 120,178.45/x
  3. Step 3: Cross multiply
    222,153.23x = 306,570.54 × 120,178.45
  4. Step 4: Simplify right side
    222,153.23x = 36,843,172,312.86
  5. Step 5: Solve for x
    x = 36,843,172,312.86/222,153.23
  6. Step 6: Final answer
    x = 165,845.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.