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Finding the Fourth Proportional to 150,954.99, 208,098.33 and 105,491.82

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Solution

The fourth proportional to 150,954.99, 208,098.33 and 105,491.82 is: 145,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,954.99 : 208,098.33 = 105,491.82 : x
  2. Step 2: Convert to fraction form
    150,954.99/208,098.33 = 105,491.82/x
  3. Step 3: Cross multiply
    150,954.99x = 208,098.33 × 105,491.82
  4. Step 4: Simplify right side
    150,954.99x = 21,952,671,570.66
  5. Step 5: Solve for x
    x = 21,952,671,570.66/150,954.99
  6. Step 6: Final answer
    x = 145,425.28

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1.5x scale

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.