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Finding the Fourth Proportional to 105,362.64, 158,020.29 and 30,466.08

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Solution

The fourth proportional to 105,362.64, 158,020.29 and 30,466.08 is: 45,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,362.64 : 158,020.29 = 30,466.08 : x
  2. Step 2: Convert to fraction form
    105,362.64/158,020.29 = 30,466.08/x
  3. Step 3: Cross multiply
    105,362.64x = 158,020.29 × 30,466.08
  4. Step 4: Simplify right side
    105,362.64x = 4,814,258,796.76
  5. Step 5: Solve for x
    x = 4,814,258,796.76/105,362.64
  6. Step 6: Final answer
    x = 45,692.28

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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.