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Finding the Fourth Proportional to 221,244.53, 305,317.35 and 120,642.53

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Solution

The fourth proportional to 221,244.53, 305,317.35 and 120,642.53 is: 166,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,244.53 : 305,317.35 = 120,642.53 : x
  2. Step 2: Convert to fraction form
    221,244.53/305,317.35 = 120,642.53/x
  3. Step 3: Cross multiply
    221,244.53x = 305,317.35 × 120,642.53
  4. Step 4: Simplify right side
    221,244.53x = 36,834,256,030.31
  5. Step 5: Solve for x
    x = 36,834,256,030.31/221,244.53
  6. Step 6: Final answer
    x = 166,486.63

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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.