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Finding the Fourth Proportional to 102,358.30, 153,506.46 and 35,786.02

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Solution

The fourth proportional to 102,358.30, 153,506.46 and 35,786.02 is: 53,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.30 : 153,506.46 = 35,786.02 : x
  2. Step 2: Convert to fraction form
    102,358.30/153,506.46 = 35,786.02/x
  3. Step 3: Cross multiply
    102,358.30x = 153,506.46 × 35,786.02
  4. Step 4: Simplify right side
    102,358.30x = 5,493,384,480.16
  5. Step 5: Solve for x
    x = 5,493,384,480.16/102,358.30
  6. Step 6: Final answer
    x = 53,668.19

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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.