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Finding the Fourth Proportional to 129,646.50, 194,469.75 and 42,094.50

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Solution

The fourth proportional to 129,646.50, 194,469.75 and 42,094.50 is: 63,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,646.50 : 194,469.75 = 42,094.50 : x
  2. Step 2: Convert to fraction form
    129,646.50/194,469.75 = 42,094.50/x
  3. Step 3: Cross multiply
    129,646.50x = 194,469.75 × 42,094.50
  4. Step 4: Simplify right side
    129,646.50x = 8,186,106,891.38
  5. Step 5: Solve for x
    x = 8,186,106,891.38/129,646.50
  6. Step 6: Final answer
    x = 63,141.75

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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.