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Finding the Fourth Proportional to 129,903.50, 194,292.36 and 76,468.16

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Solution

The fourth proportional to 129,903.50, 194,292.36 and 76,468.16 is: 114,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,903.50 : 194,292.36 = 76,468.16 : x
  2. Step 2: Convert to fraction form
    129,903.50/194,292.36 = 76,468.16/x
  3. Step 3: Cross multiply
    129,903.50x = 194,292.36 × 76,468.16
  4. Step 4: Simplify right side
    129,903.50x = 14,857,179,271.26
  5. Step 5: Solve for x
    x = 14,857,179,271.26/129,903.50
  6. Step 6: Final answer
    x = 114,370.89

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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.