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Finding the Fourth Proportional to 210,731.47, 290,814.49 and 120,085.50

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Solution

The fourth proportional to 210,731.47, 290,814.49 and 120,085.50 is: 165,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,731.47 : 290,814.49 = 120,085.50 : x
  2. Step 2: Convert to fraction form
    210,731.47/290,814.49 = 120,085.50/x
  3. Step 3: Cross multiply
    210,731.47x = 290,814.49 × 120,085.50
  4. Step 4: Simplify right side
    210,731.47x = 34,922,601,984.82
  5. Step 5: Solve for x
    x = 34,922,601,984.82/210,731.47
  6. Step 6: Final answer
    x = 165,720.87

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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.