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Finding the Fourth Proportional to 131,269.70, 196,980.93 and 55,363.52

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Solution

The fourth proportional to 131,269.70, 196,980.93 and 55,363.52 is: 83,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,269.70 : 196,980.93 = 55,363.52 : x
  2. Step 2: Convert to fraction form
    131,269.70/196,980.93 = 55,363.52/x
  3. Step 3: Cross multiply
    131,269.70x = 196,980.93 × 55,363.52
  4. Step 4: Simplify right side
    131,269.70x = 10,905,558,150.13
  5. Step 5: Solve for x
    x = 10,905,558,150.13/131,269.70
  6. Step 6: Final answer
    x = 83,077.50

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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.