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Finding the Fourth Proportional to 140,563.25, 210,845.08 and 57,457.25

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Solution

The fourth proportional to 140,563.25, 210,845.08 and 57,457.25 is: 86,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.25 : 210,845.08 = 57,457.25 : x
  2. Step 2: Convert to fraction form
    140,563.25/210,845.08 = 57,457.25/x
  3. Step 3: Cross multiply
    140,563.25x = 210,845.08 × 57,457.25
  4. Step 4: Simplify right side
    140,563.25x = 12,114,578,472.83
  5. Step 5: Solve for x
    x = 12,114,578,472.83/140,563.25
  6. Step 6: Final answer
    x = 86,185.96

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Why These Related Problems?

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