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Finding the Fourth Proportional to 194,872.50, 292,309.02 and 47,128.50

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Solution

The fourth proportional to 194,872.50, 292,309.02 and 47,128.50 is: 70,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,872.50 : 292,309.02 = 47,128.50 : x
  2. Step 2: Convert to fraction form
    194,872.50/292,309.02 = 47,128.50/x
  3. Step 3: Cross multiply
    194,872.50x = 292,309.02 × 47,128.50
  4. Step 4: Simplify right side
    194,872.50x = 13,776,085,649.07
  5. Step 5: Solve for x
    x = 13,776,085,649.07/194,872.50
  6. Step 6: Final answer
    x = 70,692.82

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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.