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Finding the Fourth Proportional to 129,983.80, 194,975.70 and 70,934.80

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Solution

The fourth proportional to 129,983.80, 194,975.70 and 70,934.80 is: 106,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,983.80 : 194,975.70 = 70,934.80 : x
  2. Step 2: Convert to fraction form
    129,983.80/194,975.70 = 70,934.80/x
  3. Step 3: Cross multiply
    129,983.80x = 194,975.70 × 70,934.80
  4. Step 4: Simplify right side
    129,983.80x = 13,830,562,284.36
  5. Step 5: Solve for x
    x = 13,830,562,284.36/129,983.80
  6. Step 6: Final answer
    x = 106,402.20

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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.