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Finding the Fourth Proportional to 113,506.75, 156,644.18 and 63,205.75

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Solution

The fourth proportional to 113,506.75, 156,644.18 and 63,205.75 is: 87,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,506.75 : 156,644.18 = 63,205.75 : x
  2. Step 2: Convert to fraction form
    113,506.75/156,644.18 = 63,205.75/x
  3. Step 3: Cross multiply
    113,506.75x = 156,644.18 × 63,205.75
  4. Step 4: Simplify right side
    113,506.75x = 9,900,812,880.04
  5. Step 5: Solve for x
    x = 9,900,812,880.04/113,506.75
  6. Step 6: Final answer
    x = 87,226.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.