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Finding the Fourth Proportional to 210,726.36, 290,793.12 and 120,101.94

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Solution

The fourth proportional to 210,726.36, 290,793.12 and 120,101.94 is: 165,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,726.36 : 290,793.12 = 120,101.94 : x
  2. Step 2: Convert to fraction form
    210,726.36/290,793.12 = 120,101.94/x
  3. Step 3: Cross multiply
    210,726.36x = 290,793.12 × 120,101.94
  4. Step 4: Simplify right side
    210,726.36x = 34,924,817,850.65
  5. Step 5: Solve for x
    x = 34,924,817,850.65/210,726.36
  6. Step 6: Final answer
    x = 165,735.40

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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.