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Finding the Fourth Proportional to 262,657, 394,120.86 and 144,421.48

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Solution

The fourth proportional to 262,657, 394,120.86 and 144,421.48 is: 216,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,657 : 394,120.86 = 144,421.48 : x
  2. Step 2: Convert to fraction form
    262,657/394,120.86 = 144,421.48/x
  3. Step 3: Cross multiply
    262,657x = 394,120.86 × 144,421.48
  4. Step 4: Simplify right side
    262,657x = 56,919,517,900.07
  5. Step 5: Solve for x
    x = 56,919,517,900.07/262,657
  6. Step 6: Final answer
    x = 216,706.65

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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.