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Finding the Fourth Proportional to 137,977.96, 190,411.30 and 83,529.42

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Solution

The fourth proportional to 137,977.96, 190,411.30 and 83,529.42 is: 115,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,977.96 : 190,411.30 = 83,529.42 : x
  2. Step 2: Convert to fraction form
    137,977.96/190,411.30 = 83,529.42/x
  3. Step 3: Cross multiply
    137,977.96x = 190,411.30 × 83,529.42
  4. Step 4: Simplify right side
    137,977.96x = 15,904,945,450.45
  5. Step 5: Solve for x
    x = 15,904,945,450.45/137,977.96
  6. Step 6: Final answer
    x = 115,271.64

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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.