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Finding the Fourth Proportional to 210,229.20, 290,357.64 and 153,122.94

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Solution

The fourth proportional to 210,229.20, 290,357.64 and 153,122.94 is: 211,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,229.20 : 290,357.64 = 153,122.94 : x
  2. Step 2: Convert to fraction form
    210,229.20/290,357.64 = 153,122.94/x
  3. Step 3: Cross multiply
    210,229.20x = 290,357.64 × 153,122.94
  4. Step 4: Simplify right side
    210,229.20x = 44,460,415,488.26
  5. Step 5: Solve for x
    x = 44,460,415,488.26/210,229.20
  6. Step 6: Final answer
    x = 211,485.44

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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.