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Finding the Fourth Proportional to 207,464, 286,283.28 and 116,791

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Solution

The fourth proportional to 207,464, 286,283.28 and 116,791 is: 161,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,464 : 286,283.28 = 116,791 : x
  2. Step 2: Convert to fraction form
    207,464/286,283.28 = 116,791/x
  3. Step 3: Cross multiply
    207,464x = 286,283.28 × 116,791
  4. Step 4: Simplify right side
    207,464x = 33,435,310,554.48
  5. Step 5: Solve for x
    x = 33,435,310,554.48/207,464
  6. Step 6: Final answer
    x = 161,161.99

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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.