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Finding the Fourth Proportional to 150,782.38, 208,050.75 and 96,363

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Solution

The fourth proportional to 150,782.38, 208,050.75 and 96,363 is: 132,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,782.38 : 208,050.75 = 96,363 : x
  2. Step 2: Convert to fraction form
    150,782.38/208,050.75 = 96,363/x
  3. Step 3: Cross multiply
    150,782.38x = 208,050.75 × 96,363
  4. Step 4: Simplify right side
    150,782.38x = 20,048,394,422.25
  5. Step 5: Solve for x
    x = 20,048,394,422.25/150,782.38
  6. Step 6: Final answer
    x = 132,962.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.