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Finding the Fourth Proportional to 144,611.10, 216,960.96 and 64,716.30

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Solution

The fourth proportional to 144,611.10, 216,960.96 and 64,716.30 is: 97,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,611.10 : 216,960.96 = 64,716.30 : x
  2. Step 2: Convert to fraction form
    144,611.10/216,960.96 = 64,716.30/x
  3. Step 3: Cross multiply
    144,611.10x = 216,960.96 × 64,716.30
  4. Step 4: Simplify right side
    144,611.10x = 14,040,910,575.65
  5. Step 5: Solve for x
    x = 14,040,910,575.65/144,611.10
  6. Step 6: Final answer
    x = 97,094.28

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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.