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Finding the Fourth Proportional to 212,200.32, 318,300.54 and 54,428.77

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Solution

The fourth proportional to 212,200.32, 318,300.54 and 54,428.77 is: 81,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,200.32 : 318,300.54 = 54,428.77 : x
  2. Step 2: Convert to fraction form
    212,200.32/318,300.54 = 54,428.77/x
  3. Step 3: Cross multiply
    212,200.32x = 318,300.54 × 54,428.77
  4. Step 4: Simplify right side
    212,200.32x = 17,324,706,882.54
  5. Step 5: Solve for x
    x = 17,324,706,882.54/212,200.32
  6. Step 6: Final answer
    x = 81,643.17

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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.