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Finding the Fourth Proportional to 210,943.32, 291,044.12 and 120,266.22

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Solution

The fourth proportional to 210,943.32, 291,044.12 and 120,266.22 is: 165,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,943.32 : 291,044.12 = 120,266.22 : x
  2. Step 2: Convert to fraction form
    210,943.32/291,044.12 = 120,266.22/x
  3. Step 3: Cross multiply
    210,943.32x = 291,044.12 × 120,266.22
  4. Step 4: Simplify right side
    210,943.32x = 35,002,775,564.30
  5. Step 5: Solve for x
    x = 35,002,775,564.30/210,943.32
  6. Step 6: Final answer
    x = 165,934.51

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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.