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Finding the Fourth Proportional to 210,661.26, 290,678.94 and 120,019.02

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Solution

The fourth proportional to 210,661.26, 290,678.94 and 120,019.02 is: 165,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,661.26 : 290,678.94 = 120,019.02 : x
  2. Step 2: Convert to fraction form
    210,661.26/290,678.94 = 120,019.02/x
  3. Step 3: Cross multiply
    210,661.26x = 290,678.94 × 120,019.02
  4. Step 4: Simplify right side
    210,661.26x = 34,887,001,513.44
  5. Step 5: Solve for x
    x = 34,887,001,513.44/210,661.26
  6. Step 6: Final answer
    x = 165,607.11

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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.