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Finding the Fourth Proportional to 150,428.99, 225,658.47 and 55,684.51

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Solution

The fourth proportional to 150,428.99, 225,658.47 and 55,684.51 is: 83,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,428.99 : 225,658.47 = 55,684.51 : x
  2. Step 2: Convert to fraction form
    150,428.99/225,658.47 = 55,684.51/x
  3. Step 3: Cross multiply
    150,428.99x = 225,658.47 × 55,684.51
  4. Step 4: Simplify right side
    150,428.99x = 12,565,681,329.30
  5. Step 5: Solve for x
    x = 12,565,681,329.30/150,428.99
  6. Step 6: Final answer
    x = 83,532.31

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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.