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Finding the Fourth Proportional to 189,102.09, 283,653.14 and 70,829.13

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Solution

The fourth proportional to 189,102.09, 283,653.14 and 70,829.13 is: 106,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.09 : 283,653.14 = 70,829.13 : x
  2. Step 2: Convert to fraction form
    189,102.09/283,653.14 = 70,829.13/x
  3. Step 3: Cross multiply
    189,102.09x = 283,653.14 × 70,829.13
  4. Step 4: Simplify right side
    189,102.09x = 20,090,906,235.94
  5. Step 5: Solve for x
    x = 20,090,906,235.94/189,102.09
  6. Step 6: Final answer
    x = 106,243.70

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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.