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Finding the Fourth Proportional to 140,899.30, 194,450.08 and 77,237.26

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Solution

The fourth proportional to 140,899.30, 194,450.08 and 77,237.26 is: 106,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,899.30 : 194,450.08 = 77,237.26 : x
  2. Step 2: Convert to fraction form
    140,899.30/194,450.08 = 77,237.26/x
  3. Step 3: Cross multiply
    140,899.30x = 194,450.08 × 77,237.26
  4. Step 4: Simplify right side
    140,899.30x = 15,018,791,385.98
  5. Step 5: Solve for x
    x = 15,018,791,385.98/140,899.30
  6. Step 6: Final answer
    x = 106,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.