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Finding the Fourth Proportional to 145,950.30, 218,998.35 and 82,818.90

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Solution

The fourth proportional to 145,950.30, 218,998.35 and 82,818.90 is: 124,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950.30 : 218,998.35 = 82,818.90 : x
  2. Step 2: Convert to fraction form
    145,950.30/218,998.35 = 82,818.90/x
  3. Step 3: Cross multiply
    145,950.30x = 218,998.35 × 82,818.90
  4. Step 4: Simplify right side
    145,950.30x = 18,137,202,448.82
  5. Step 5: Solve for x
    x = 18,137,202,448.82/145,950.30
  6. Step 6: Final answer
    x = 124,269.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.