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Finding the Fourth Proportional to 131,293.96, 196,940.94 and 104,875

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Solution

The fourth proportional to 131,293.96, 196,940.94 and 104,875 is: 157,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,293.96 : 196,940.94 = 104,875 : x
  2. Step 2: Convert to fraction form
    131,293.96/196,940.94 = 104,875/x
  3. Step 3: Cross multiply
    131,293.96x = 196,940.94 × 104,875
  4. Step 4: Simplify right side
    131,293.96x = 20,654,181,082.50
  5. Step 5: Solve for x
    x = 20,654,181,082.50/131,293.96
  6. Step 6: Final answer
    x = 157,312.50

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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.