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Finding the Fourth Proportional to 150,137.84, 207,193.24 and 83,070.96

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Solution

The fourth proportional to 150,137.84, 207,193.24 and 83,070.96 is: 114,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,137.84 : 207,193.24 = 83,070.96 : x
  2. Step 2: Convert to fraction form
    150,137.84/207,193.24 = 83,070.96/x
  3. Step 3: Cross multiply
    150,137.84x = 207,193.24 × 83,070.96
  4. Step 4: Simplify right side
    150,137.84x = 17,211,741,352.31
  5. Step 5: Solve for x
    x = 17,211,741,352.31/150,137.84
  6. Step 6: Final answer
    x = 114,639.60

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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.