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Finding the Fourth Proportional to 260,141.91, 358,988.29 and 145,420.75

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Solution

The fourth proportional to 260,141.91, 358,988.29 and 145,420.75 is: 200,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,141.91 : 358,988.29 = 145,420.75 : x
  2. Step 2: Convert to fraction form
    260,141.91/358,988.29 = 145,420.75/x
  3. Step 3: Cross multiply
    260,141.91x = 358,988.29 × 145,420.75
  4. Step 4: Simplify right side
    260,141.91x = 52,204,346,373.02
  5. Step 5: Solve for x
    x = 52,204,346,373.02/260,141.91
  6. Step 6: Final answer
    x = 200,676.42

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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.