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Finding the Fourth Proportional to 144,098.56, 216,145.08 and 65,157.64

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Solution

The fourth proportional to 144,098.56, 216,145.08 and 65,157.64 is: 97,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,098.56 : 216,145.08 = 65,157.64 : x
  2. Step 2: Convert to fraction form
    144,098.56/216,145.08 = 65,157.64/x
  3. Step 3: Cross multiply
    144,098.56x = 216,145.08 × 65,157.64
  4. Step 4: Simplify right side
    144,098.56x = 14,083,503,310.41
  5. Step 5: Solve for x
    x = 14,083,503,310.41/144,098.56
  6. Step 6: Final answer
    x = 97,735.21

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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.