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Finding the Fourth Proportional to 210,471.65, 290,461.25 and 119,829.41

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Solution

The fourth proportional to 210,471.65, 290,461.25 and 119,829.41 is: 165,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.65 : 290,461.25 = 119,829.41 : x
  2. Step 2: Convert to fraction form
    210,471.65/290,461.25 = 119,829.41/x
  3. Step 3: Cross multiply
    210,471.65x = 290,461.25 × 119,829.41
  4. Step 4: Simplify right side
    210,471.65x = 34,805,799,616.22
  5. Step 5: Solve for x
    x = 34,805,799,616.22/210,471.65
  6. Step 6: Final answer
    x = 165,370.49

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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.