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Finding the Fourth Proportional to 210,242.99, 290,138.36 and 114,747.64

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Solution

The fourth proportional to 210,242.99, 290,138.36 and 114,747.64 is: 158,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,242.99 : 290,138.36 = 114,747.64 : x
  2. Step 2: Convert to fraction form
    210,242.99/290,138.36 = 114,747.64/x
  3. Step 3: Cross multiply
    210,242.99x = 290,138.36 × 114,747.64
  4. Step 4: Simplify right side
    210,242.99x = 33,292,690,784.39
  5. Step 5: Solve for x
    x = 33,292,690,784.39/210,242.99
  6. Step 6: Final answer
    x = 158,353.39

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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.