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Finding the Fourth Proportional to 137,457.90, 206,122.14 and 53,257.50

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Solution

The fourth proportional to 137,457.90, 206,122.14 and 53,257.50 is: 79,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,457.90 : 206,122.14 = 53,257.50 : x
  2. Step 2: Convert to fraction form
    137,457.90/206,122.14 = 53,257.50/x
  3. Step 3: Cross multiply
    137,457.90x = 206,122.14 × 53,257.50
  4. Step 4: Simplify right side
    137,457.90x = 10,977,549,871.05
  5. Step 5: Solve for x
    x = 10,977,549,871.05/137,457.90
  6. Step 6: Final answer
    x = 79,861.18

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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.