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Finding the Fourth Proportional to 285,516.90, 427,814.55 and 180,147.30

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Solution

The fourth proportional to 285,516.90, 427,814.55 and 180,147.30 is: 269,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,516.90 : 427,814.55 = 180,147.30 : x
  2. Step 2: Convert to fraction form
    285,516.90/427,814.55 = 180,147.30/x
  3. Step 3: Cross multiply
    285,516.90x = 427,814.55 × 180,147.30
  4. Step 4: Simplify right side
    285,516.90x = 77,069,636,083.22
  5. Step 5: Solve for x
    x = 77,069,636,083.22/285,516.90
  6. Step 6: Final answer
    x = 269,930.21

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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.