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Finding the Fourth Proportional to 210,477, 290,478.24 and 114,998.07

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Solution

The fourth proportional to 210,477, 290,478.24 and 114,998.07 is: 158,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,477 : 290,478.24 = 114,998.07 : x
  2. Step 2: Convert to fraction form
    210,477/290,478.24 = 114,998.07/x
  3. Step 3: Cross multiply
    210,477x = 290,478.24 × 114,998.07
  4. Step 4: Simplify right side
    210,477x = 33,404,436,977.00
  5. Step 5: Solve for x
    x = 33,404,436,977.00/210,477
  6. Step 6: Final answer
    x = 158,708.25

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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.