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Finding the Fourth Proportional to 189,852.36, 284,797.90 and 65,177.16

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Solution

The fourth proportional to 189,852.36, 284,797.90 and 65,177.16 is: 97,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852.36 : 284,797.90 = 65,177.16 : x
  2. Step 2: Convert to fraction form
    189,852.36/284,797.90 = 65,177.16/x
  3. Step 3: Cross multiply
    189,852.36x = 284,797.90 × 65,177.16
  4. Step 4: Simplify right side
    189,852.36x = 18,562,318,295.96
  5. Step 5: Solve for x
    x = 18,562,318,295.96/189,852.36
  6. Step 6: Final answer
    x = 97,772.39

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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.