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Finding the Fourth Proportional to 260,142.72, 390,266.82 and 147,876.72

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Solution

The fourth proportional to 260,142.72, 390,266.82 and 147,876.72 is: 221,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,142.72 : 390,266.82 = 147,876.72 : x
  2. Step 2: Convert to fraction form
    260,142.72/390,266.82 = 147,876.72/x
  3. Step 3: Cross multiply
    260,142.72x = 390,266.82 × 147,876.72
  4. Step 4: Simplify right side
    260,142.72x = 57,711,377,266.43
  5. Step 5: Solve for x
    x = 57,711,377,266.43/260,142.72
  6. Step 6: Final answer
    x = 221,845.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.