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Finding the Fourth Proportional to 160,223.44, 221,114.16 and 103,634.80

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Solution

The fourth proportional to 160,223.44, 221,114.16 and 103,634.80 is: 143,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,223.44 : 221,114.16 = 103,634.80 : x
  2. Step 2: Convert to fraction form
    160,223.44/221,114.16 = 103,634.80/x
  3. Step 3: Cross multiply
    160,223.44x = 221,114.16 × 103,634.80
  4. Step 4: Simplify right side
    160,223.44x = 22,915,121,748.77
  5. Step 5: Solve for x
    x = 22,915,121,748.77/160,223.44
  6. Step 6: Final answer
    x = 143,019.78

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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.