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Finding the Fourth Proportional to 100,617.64, 150,729.24 and 58,409.20

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Solution

The fourth proportional to 100,617.64, 150,729.24 and 58,409.20 is: 87,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617.64 : 150,729.24 = 58,409.20 : x
  2. Step 2: Convert to fraction form
    100,617.64/150,729.24 = 58,409.20/x
  3. Step 3: Cross multiply
    100,617.64x = 150,729.24 × 58,409.20
  4. Step 4: Simplify right side
    100,617.64x = 8,803,974,325.01
  5. Step 5: Solve for x
    x = 8,803,974,325.01/100,617.64
  6. Step 6: Final answer
    x = 87,499.31

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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.