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Finding the Fourth Proportional to 150,891.68, 208,152.44 and 102,496.10

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Solution

The fourth proportional to 150,891.68, 208,152.44 and 102,496.10 is: 141,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,891.68 : 208,152.44 = 102,496.10 : x
  2. Step 2: Convert to fraction form
    150,891.68/208,152.44 = 102,496.10/x
  3. Step 3: Cross multiply
    150,891.68x = 208,152.44 × 102,496.10
  4. Step 4: Simplify right side
    150,891.68x = 21,334,813,305.48
  5. Step 5: Solve for x
    x = 21,334,813,305.48/150,891.68
  6. Step 6: Final answer
    x = 141,391.58

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