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Finding the Fourth Proportional to 210,767.58, 290,864.22 and 120,131.94

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Solution

The fourth proportional to 210,767.58, 290,864.22 and 120,131.94 is: 165,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,767.58 : 290,864.22 = 120,131.94 : x
  2. Step 2: Convert to fraction form
    210,767.58/290,864.22 = 120,131.94/x
  3. Step 3: Cross multiply
    210,767.58x = 290,864.22 × 120,131.94
  4. Step 4: Simplify right side
    210,767.58x = 34,942,083,025.19
  5. Step 5: Solve for x
    x = 34,942,083,025.19/210,767.58
  6. Step 6: Final answer
    x = 165,784.90

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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.