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Finding the Fourth Proportional to 160,199.19, 240,299.00 and 65,429.37

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Solution

The fourth proportional to 160,199.19, 240,299.00 and 65,429.37 is: 98,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,199.19 : 240,299.00 = 65,429.37 : x
  2. Step 2: Convert to fraction form
    160,199.19/240,299.00 = 65,429.37/x
  3. Step 3: Cross multiply
    160,199.19x = 240,299.00 × 65,429.37
  4. Step 4: Simplify right side
    160,199.19x = 15,722,612,467.88
  5. Step 5: Solve for x
    x = 15,722,612,467.88/160,199.19
  6. Step 6: Final answer
    x = 98,144.14

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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.