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Finding the Fourth Proportional to 308,858.12, 463,292.06 and 121,868

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Solution

The fourth proportional to 308,858.12, 463,292.06 and 121,868 is: 182,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,858.12 : 463,292.06 = 121,868 : x
  2. Step 2: Convert to fraction form
    308,858.12/463,292.06 = 121,868/x
  3. Step 3: Cross multiply
    308,858.12x = 463,292.06 × 121,868
  4. Step 4: Simplify right side
    308,858.12x = 56,460,476,768.08
  5. Step 5: Solve for x
    x = 56,460,476,768.08/308,858.12
  6. Step 6: Final answer
    x = 182,803.93

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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.