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Finding the Fourth Proportional to 210,057.21, 289,903.86 and 119,426.85

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Solution

The fourth proportional to 210,057.21, 289,903.86 and 119,426.85 is: 164,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,057.21 : 289,903.86 = 119,426.85 : x
  2. Step 2: Convert to fraction form
    210,057.21/289,903.86 = 119,426.85/x
  3. Step 3: Cross multiply
    210,057.21x = 289,903.86 × 119,426.85
  4. Step 4: Simplify right side
    210,057.21x = 34,622,304,802.64
  5. Step 5: Solve for x
    x = 34,622,304,802.64/210,057.21
  6. Step 6: Final answer
    x = 164,823.22

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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.