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Finding the Fourth Proportional to 201,615.80, 302,411.46 and 89,263.24

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Solution

The fourth proportional to 201,615.80, 302,411.46 and 89,263.24 is: 133,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,615.80 : 302,411.46 = 89,263.24 : x
  2. Step 2: Convert to fraction form
    201,615.80/302,411.46 = 89,263.24/x
  3. Step 3: Cross multiply
    201,615.80x = 302,411.46 × 89,263.24
  4. Step 4: Simplify right side
    201,615.80x = 26,994,226,732.73
  5. Step 5: Solve for x
    x = 26,994,226,732.73/201,615.80
  6. Step 6: Final answer
    x = 133,889.44

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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.