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Finding the Fourth Proportional to 210,717.68, 290,757.76 and 120,077.46

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Solution

The fourth proportional to 210,717.68, 290,757.76 and 120,077.46 is: 165,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,717.68 : 290,757.76 = 120,077.46 : x
  2. Step 2: Convert to fraction form
    210,717.68/290,757.76 = 120,077.46/x
  3. Step 3: Cross multiply
    210,717.68x = 290,757.76 × 120,077.46
  4. Step 4: Simplify right side
    210,717.68x = 34,913,452,995.90
  5. Step 5: Solve for x
    x = 34,913,452,995.90/210,717.68
  6. Step 6: Final answer
    x = 165,688.30

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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.