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Finding the Fourth Proportional to 274,838.35, 412,312.53 and 94,930.35

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Solution

The fourth proportional to 274,838.35, 412,312.53 and 94,930.35 is: 142,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,838.35 : 412,312.53 = 94,930.35 : x
  2. Step 2: Convert to fraction form
    274,838.35/412,312.53 = 94,930.35/x
  3. Step 3: Cross multiply
    274,838.35x = 412,312.53 × 94,930.35
  4. Step 4: Simplify right side
    274,838.35x = 39,140,972,273.32
  5. Step 5: Solve for x
    x = 39,140,972,273.32/274,838.35
  6. Step 6: Final answer
    x = 142,414.52

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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.