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Finding the Fourth Proportional to 210,417, 290,384.10 and 120,993

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Solution

The fourth proportional to 210,417, 290,384.10 and 120,993 is: 166,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,417 : 290,384.10 = 120,993 : x
  2. Step 2: Convert to fraction form
    210,417/290,384.10 = 120,993/x
  3. Step 3: Cross multiply
    210,417x = 290,384.10 × 120,993
  4. Step 4: Simplify right side
    210,417x = 35,134,443,411.30
  5. Step 5: Solve for x
    x = 35,134,443,411.30/210,417
  6. Step 6: Final answer
    x = 166,975.31

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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.