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Finding the Fourth Proportional to 103,172.64, 142,353.36 and 65,433.12

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Solution

The fourth proportional to 103,172.64, 142,353.36 and 65,433.12 is: 90,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,172.64 : 142,353.36 = 65,433.12 : x
  2. Step 2: Convert to fraction form
    103,172.64/142,353.36 = 65,433.12/x
  3. Step 3: Cross multiply
    103,172.64x = 142,353.36 × 65,433.12
  4. Step 4: Simplify right side
    103,172.64x = 9,314,624,487.28
  5. Step 5: Solve for x
    x = 9,314,624,487.28/103,172.64
  6. Step 6: Final answer
    x = 90,281.92

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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.