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Finding the Fourth Proportional to 233,513.34, 350,295.99 and 100,406.98

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Solution

The fourth proportional to 233,513.34, 350,295.99 and 100,406.98 is: 150,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,513.34 : 350,295.99 = 100,406.98 : x
  2. Step 2: Convert to fraction form
    233,513.34/350,295.99 = 100,406.98/x
  3. Step 3: Cross multiply
    233,513.34x = 350,295.99 × 100,406.98
  4. Step 4: Simplify right side
    233,513.34x = 35,172,162,462.01
  5. Step 5: Solve for x
    x = 35,172,162,462.01/233,513.34
  6. Step 6: Final answer
    x = 150,621.64

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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.