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Finding the Fourth Proportional to 130,467, 195,694.32 and 46,225.80

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Solution

The fourth proportional to 130,467, 195,694.32 and 46,225.80 is: 69,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,467 : 195,694.32 = 46,225.80 : x
  2. Step 2: Convert to fraction form
    130,467/195,694.32 = 46,225.80/x
  3. Step 3: Cross multiply
    130,467x = 195,694.32 × 46,225.80
  4. Step 4: Simplify right side
    130,467x = 9,046,126,497.46
  5. Step 5: Solve for x
    x = 9,046,126,497.46/130,467
  6. Step 6: Final answer
    x = 69,336.51

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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.