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Finding the Fourth Proportional to 102,183.81, 153,276.57 and 35,623.81

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Solution

The fourth proportional to 102,183.81, 153,276.57 and 35,623.81 is: 53,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,183.81 : 153,276.57 = 35,623.81 : x
  2. Step 2: Convert to fraction form
    102,183.81/153,276.57 = 35,623.81/x
  3. Step 3: Cross multiply
    102,183.81x = 153,276.57 × 35,623.81
  4. Step 4: Simplify right side
    102,183.81x = 5,460,295,407.13
  5. Step 5: Solve for x
    x = 5,460,295,407.13/102,183.81
  6. Step 6: Final answer
    x = 53,436.01

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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.