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Finding the Fourth Proportional to 105,692.40, 158,538.60 and 96,015.60

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Solution

The fourth proportional to 105,692.40, 158,538.60 and 96,015.60 is: 144,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,692.40 : 158,538.60 = 96,015.60 : x
  2. Step 2: Convert to fraction form
    105,692.40/158,538.60 = 96,015.60/x
  3. Step 3: Cross multiply
    105,692.40x = 158,538.60 × 96,015.60
  4. Step 4: Simplify right side
    105,692.40x = 15,222,178,802.16
  5. Step 5: Solve for x
    x = 15,222,178,802.16/105,692.40
  6. Step 6: Final answer
    x = 144,023.40

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Why These Related Problems?

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