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Finding the Fourth Proportional to 253,438.96, 380,242.86 and 84,976

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Solution

The fourth proportional to 253,438.96, 380,242.86 and 84,976 is: 127,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,438.96 : 380,242.86 = 84,976 : x
  2. Step 2: Convert to fraction form
    253,438.96/380,242.86 = 84,976/x
  3. Step 3: Cross multiply
    253,438.96x = 380,242.86 × 84,976
  4. Step 4: Simplify right side
    253,438.96x = 32,311,517,271.36
  5. Step 5: Solve for x
    x = 32,311,517,271.36/253,438.96
  6. Step 6: Final answer
    x = 127,492.31

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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.