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Finding the Fourth Proportional to 216,892.28, 324,772.54 and 174,541.03

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Solution

The fourth proportional to 216,892.28, 324,772.54 and 174,541.03 is: 261,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,892.28 : 324,772.54 = 174,541.03 : x
  2. Step 2: Convert to fraction form
    216,892.28/324,772.54 = 174,541.03/x
  3. Step 3: Cross multiply
    216,892.28x = 324,772.54 × 174,541.03
  4. Step 4: Simplify right side
    216,892.28x = 56,686,133,647.32
  5. Step 5: Solve for x
    x = 56,686,133,647.32/216,892.28
  6. Step 6: Final answer
    x = 261,356.16

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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.