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Finding the Fourth Proportional to 160,503.26, 221,348.30 and 137,835.14

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Solution

The fourth proportional to 160,503.26, 221,348.30 and 137,835.14 is: 190,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,503.26 : 221,348.30 = 137,835.14 : x
  2. Step 2: Convert to fraction form
    160,503.26/221,348.30 = 137,835.14/x
  3. Step 3: Cross multiply
    160,503.26x = 221,348.30 × 137,835.14
  4. Step 4: Simplify right side
    160,503.26x = 30,509,573,919.26
  5. Step 5: Solve for x
    x = 30,509,573,919.26/160,503.26
  6. Step 6: Final answer
    x = 190,086.94

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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.