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Finding the Fourth Proportional to 199,300.70, 298,923.01 and 57,158.16

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Solution

The fourth proportional to 199,300.70, 298,923.01 and 57,158.16 is: 85,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,300.70 : 298,923.01 = 57,158.16 : x
  2. Step 2: Convert to fraction form
    199,300.70/298,923.01 = 57,158.16/x
  3. Step 3: Cross multiply
    199,300.70x = 298,923.01 × 57,158.16
  4. Step 4: Simplify right side
    199,300.70x = 17,085,887,969.40
  5. Step 5: Solve for x
    x = 17,085,887,969.40/199,300.70
  6. Step 6: Final answer
    x = 85,729.19

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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.