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Finding the Fourth Proportional to 189,369.36, 283,783.32 and 139,054.68

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Solution

The fourth proportional to 189,369.36, 283,783.32 and 139,054.68 is: 208,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,369.36 : 283,783.32 = 139,054.68 : x
  2. Step 2: Convert to fraction form
    189,369.36/283,783.32 = 139,054.68/x
  3. Step 3: Cross multiply
    189,369.36x = 283,783.32 × 139,054.68
  4. Step 4: Simplify right side
    189,369.36x = 39,461,398,751.94
  5. Step 5: Solve for x
    x = 39,461,398,751.94/189,369.36
  6. Step 6: Final answer
    x = 208,383.23

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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.