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Finding the Fourth Proportional to 260,122.26, 358,997.86 and 146,952.30

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Solution

The fourth proportional to 260,122.26, 358,997.86 and 146,952.30 is: 202,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,122.26 : 358,997.86 = 146,952.30 : x
  2. Step 2: Convert to fraction form
    260,122.26/358,997.86 = 146,952.30/x
  3. Step 3: Cross multiply
    260,122.26x = 358,997.86 × 146,952.30
  4. Step 4: Simplify right side
    260,122.26x = 52,755,561,222.08
  5. Step 5: Solve for x
    x = 52,755,561,222.08/260,122.26
  6. Step 6: Final answer
    x = 202,810.64

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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.