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Finding the Fourth Proportional to 152,308.56, 210,183.24 and 84,324.24

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Solution

The fourth proportional to 152,308.56, 210,183.24 and 84,324.24 is: 116,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,308.56 : 210,183.24 = 84,324.24 : x
  2. Step 2: Convert to fraction form
    152,308.56/210,183.24 = 84,324.24/x
  3. Step 3: Cross multiply
    152,308.56x = 210,183.24 × 84,324.24
  4. Step 4: Simplify right side
    152,308.56x = 17,723,541,973.74
  5. Step 5: Solve for x
    x = 17,723,541,973.74/152,308.56
  6. Step 6: Final answer
    x = 116,366.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.