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Finding the Fourth Proportional to 198,287.36, 297,409.28 and 58,047.36

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Solution

The fourth proportional to 198,287.36, 297,409.28 and 58,047.36 is: 87,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,287.36 : 297,409.28 = 58,047.36 : x
  2. Step 2: Convert to fraction form
    198,287.36/297,409.28 = 58,047.36/x
  3. Step 3: Cross multiply
    198,287.36x = 297,409.28 × 58,047.36
  4. Step 4: Simplify right side
    198,287.36x = 17,263,823,543.50
  5. Step 5: Solve for x
    x = 17,263,823,543.50/198,287.36
  6. Step 6: Final answer
    x = 87,064.67

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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.