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Finding the Fourth Proportional to 180,417.28, 270,651.84 and 55,768

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Solution

The fourth proportional to 180,417.28, 270,651.84 and 55,768 is: 83,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,417.28 : 270,651.84 = 55,768 : x
  2. Step 2: Convert to fraction form
    180,417.28/270,651.84 = 55,768/x
  3. Step 3: Cross multiply
    180,417.28x = 270,651.84 × 55,768
  4. Step 4: Simplify right side
    180,417.28x = 15,093,711,813.12
  5. Step 5: Solve for x
    x = 15,093,711,813.12/180,417.28
  6. Step 6: Final answer
    x = 83,660.01

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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.