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Finding the Fourth Proportional to 140,763.70, 194,424.32 and 102,462.50

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Solution

The fourth proportional to 140,763.70, 194,424.32 and 102,462.50 is: 141,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,763.70 : 194,424.32 = 102,462.50 : x
  2. Step 2: Convert to fraction form
    140,763.70/194,424.32 = 102,462.50/x
  3. Step 3: Cross multiply
    140,763.70x = 194,424.32 × 102,462.50
  4. Step 4: Simplify right side
    140,763.70x = 19,921,201,888
  5. Step 5: Solve for x
    x = 19,921,201,888/140,763.70
  6. Step 6: Final answer
    x = 141,522.30

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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.