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Finding the Fourth Proportional to 114,455.20, 171,682.80 and 35,568.80

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Solution

The fourth proportional to 114,455.20, 171,682.80 and 35,568.80 is: 53,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,455.20 : 171,682.80 = 35,568.80 : x
  2. Step 2: Convert to fraction form
    114,455.20/171,682.80 = 35,568.80/x
  3. Step 3: Cross multiply
    114,455.20x = 171,682.80 × 35,568.80
  4. Step 4: Simplify right side
    114,455.20x = 6,106,551,176.64
  5. Step 5: Solve for x
    x = 6,106,551,176.64/114,455.20
  6. Step 6: Final answer
    x = 53,353.20

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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.