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Finding the Fourth Proportional to 285,643.84, 394,172.84 and 158,311.84

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Solution

The fourth proportional to 285,643.84, 394,172.84 and 158,311.84 is: 218,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,643.84 : 394,172.84 = 158,311.84 : x
  2. Step 2: Convert to fraction form
    285,643.84/394,172.84 = 158,311.84/x
  3. Step 3: Cross multiply
    285,643.84x = 394,172.84 × 158,311.84
  4. Step 4: Simplify right side
    285,643.84x = 62,402,227,578.43
  5. Step 5: Solve for x
    x = 62,402,227,578.43/285,643.84
  6. Step 6: Final answer
    x = 218,461.66

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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.