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Finding the Fourth Proportional to 140,012.96, 193,213.68 and 76,352

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Solution

The fourth proportional to 140,012.96, 193,213.68 and 76,352 is: 105,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,012.96 : 193,213.68 = 76,352 : x
  2. Step 2: Convert to fraction form
    140,012.96/193,213.68 = 76,352/x
  3. Step 3: Cross multiply
    140,012.96x = 193,213.68 × 76,352
  4. Step 4: Simplify right side
    140,012.96x = 14,752,250,895.36
  5. Step 5: Solve for x
    x = 14,752,250,895.36/140,012.96
  6. Step 6: Final answer
    x = 105,363.47

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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.