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Finding the Fourth Proportional to 260,414.26, 390,492.16 and 82,898.20

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Solution

The fourth proportional to 260,414.26, 390,492.16 and 82,898.20 is: 124,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,414.26 : 390,492.16 = 82,898.20 : x
  2. Step 2: Convert to fraction form
    260,414.26/390,492.16 = 82,898.20/x
  3. Step 3: Cross multiply
    260,414.26x = 390,492.16 × 82,898.20
  4. Step 4: Simplify right side
    260,414.26x = 32,371,097,178.11
  5. Step 5: Solve for x
    x = 32,371,097,178.11/260,414.26
  6. Step 6: Final answer
    x = 124,306.16

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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.