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Finding the Fourth Proportional to 120,246.90, 180,411.70 and 53,732.94

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Solution

The fourth proportional to 120,246.90, 180,411.70 and 53,732.94 is: 80,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,246.90 : 180,411.70 = 53,732.94 : x
  2. Step 2: Convert to fraction form
    120,246.90/180,411.70 = 53,732.94/x
  3. Step 3: Cross multiply
    120,246.90x = 180,411.70 × 53,732.94
  4. Step 4: Simplify right side
    120,246.90x = 9,694,051,051.40
  5. Step 5: Solve for x
    x = 9,694,051,051.40/120,246.90
  6. Step 6: Final answer
    x = 80,617.89

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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.