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Finding the Fourth Proportional to 129,646.80, 194,038.20 and 94,006.80

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Solution

The fourth proportional to 129,646.80, 194,038.20 and 94,006.80 is: 140,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,646.80 : 194,038.20 = 94,006.80 : x
  2. Step 2: Convert to fraction form
    129,646.80/194,038.20 = 94,006.80/x
  3. Step 3: Cross multiply
    129,646.80x = 194,038.20 × 94,006.80
  4. Step 4: Simplify right side
    129,646.80x = 18,240,910,259.76
  5. Step 5: Solve for x
    x = 18,240,910,259.76/129,646.80
  6. Step 6: Final answer
    x = 140,696.96

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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.