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Finding the Fourth Proportional to 103,173.14, 142,318.46 and 64,871.99

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Solution

The fourth proportional to 103,173.14, 142,318.46 and 64,871.99 is: 89,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,173.14 : 142,318.46 = 64,871.99 : x
  2. Step 2: Convert to fraction form
    103,173.14/142,318.46 = 64,871.99/x
  3. Step 3: Cross multiply
    103,173.14x = 142,318.46 × 64,871.99
  4. Step 4: Simplify right side
    103,173.14x = 9,232,481,698.22
  5. Step 5: Solve for x
    x = 9,232,481,698.22/103,173.14
  6. Step 6: Final answer
    x = 89,485.32

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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.