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Finding the Fourth Proportional to 268,384.40, 402,576.60 and 81,405.20

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Solution

The fourth proportional to 268,384.40, 402,576.60 and 81,405.20 is: 122,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,384.40 : 402,576.60 = 81,405.20 : x
  2. Step 2: Convert to fraction form
    268,384.40/402,576.60 = 81,405.20/x
  3. Step 3: Cross multiply
    268,384.40x = 402,576.60 × 81,405.20
  4. Step 4: Simplify right side
    268,384.40x = 32,771,828,638.32
  5. Step 5: Solve for x
    x = 32,771,828,638.32/268,384.40
  6. Step 6: Final answer
    x = 122,107.80

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Why These Related Problems?

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