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Finding the Fourth Proportional to 195,279, 292,918.56 and 47,535

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Solution

The fourth proportional to 195,279, 292,918.56 and 47,535 is: 71,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,279 : 292,918.56 = 47,535 : x
  2. Step 2: Convert to fraction form
    195,279/292,918.56 = 47,535/x
  3. Step 3: Cross multiply
    195,279x = 292,918.56 × 47,535
  4. Step 4: Simplify right side
    195,279x = 13,923,883,749.60
  5. Step 5: Solve for x
    x = 13,923,883,749.60/195,279
  6. Step 6: Final answer
    x = 71,302.51

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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.