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Finding the Fourth Proportional to 210,265.80, 290,173.68 and 114,777.60

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Solution

The fourth proportional to 210,265.80, 290,173.68 and 114,777.60 is: 158,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,265.80 : 290,173.68 = 114,777.60 : x
  2. Step 2: Convert to fraction form
    210,265.80/290,173.68 = 114,777.60/x
  3. Step 3: Cross multiply
    210,265.80x = 290,173.68 × 114,777.60
  4. Step 4: Simplify right side
    210,265.80x = 33,305,438,573.57
  5. Step 5: Solve for x
    x = 33,305,438,573.57/210,265.80
  6. Step 6: Final answer
    x = 158,396.84

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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.