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Finding the Fourth Proportional to 210,301.34, 290,205.72 and 119,648.84

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Solution

The fourth proportional to 210,301.34, 290,205.72 and 119,648.84 is: 165,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301.34 : 290,205.72 = 119,648.84 : x
  2. Step 2: Convert to fraction form
    210,301.34/290,205.72 = 119,648.84/x
  3. Step 3: Cross multiply
    210,301.34x = 290,205.72 × 119,648.84
  4. Step 4: Simplify right side
    210,301.34x = 34,722,776,308.34
  5. Step 5: Solve for x
    x = 34,722,776,308.34/210,301.34
  6. Step 6: Final answer
    x = 165,109.63

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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.