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Finding the Fourth Proportional to 105,669, 158,504.40 and 26,783.28

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Solution

The fourth proportional to 105,669, 158,504.40 and 26,783.28 is: 40,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,669 : 158,504.40 = 26,783.28 : x
  2. Step 2: Convert to fraction form
    105,669/158,504.40 = 26,783.28/x
  3. Step 3: Cross multiply
    105,669x = 158,504.40 × 26,783.28
  4. Step 4: Simplify right side
    105,669x = 4,245,267,726.43
  5. Step 5: Solve for x
    x = 4,245,267,726.43/105,669
  6. Step 6: Final answer
    x = 40,175.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.