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Finding the Fourth Proportional to 130,709.52, 196,045.74 and 41,951.54

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Solution

The fourth proportional to 130,709.52, 196,045.74 and 41,951.54 is: 62,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,709.52 : 196,045.74 = 41,951.54 : x
  2. Step 2: Convert to fraction form
    130,709.52/196,045.74 = 41,951.54/x
  3. Step 3: Cross multiply
    130,709.52x = 196,045.74 × 41,951.54
  4. Step 4: Simplify right side
    130,709.52x = 8,224,421,193.55
  5. Step 5: Solve for x
    x = 8,224,421,193.55/130,709.52
  6. Step 6: Final answer
    x = 62,921.36

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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.