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Finding the Fourth Proportional to 142,813.80, 197,075.44 and 82,380.83

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Solution

The fourth proportional to 142,813.80, 197,075.44 and 82,380.83 is: 113,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,813.80 : 197,075.44 = 82,380.83 : x
  2. Step 2: Convert to fraction form
    142,813.80/197,075.44 = 82,380.83/x
  3. Step 3: Cross multiply
    142,813.80x = 197,075.44 × 82,380.83
  4. Step 4: Simplify right side
    142,813.80x = 16,235,238,319.82
  5. Step 5: Solve for x
    x = 16,235,238,319.82/142,813.80
  6. Step 6: Final answer
    x = 113,681.16

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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.