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Finding the Fourth Proportional to 194,805.80, 292,208.70 and 101,299.40

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Solution

The fourth proportional to 194,805.80, 292,208.70 and 101,299.40 is: 151,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.80 : 292,208.70 = 101,299.40 : x
  2. Step 2: Convert to fraction form
    194,805.80/292,208.70 = 101,299.40/x
  3. Step 3: Cross multiply
    194,805.80x = 292,208.70 × 101,299.40
  4. Step 4: Simplify right side
    194,805.80x = 29,600,565,984.78
  5. Step 5: Solve for x
    x = 29,600,565,984.78/194,805.80
  6. Step 6: Final answer
    x = 151,949.10

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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.