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Finding the Fourth Proportional to 195,426.98, 292,971.74 and 75,567.84

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Solution

The fourth proportional to 195,426.98, 292,971.74 and 75,567.84 is: 113,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,426.98 : 292,971.74 = 75,567.84 : x
  2. Step 2: Convert to fraction form
    195,426.98/292,971.74 = 75,567.84/x
  3. Step 3: Cross multiply
    195,426.98x = 292,971.74 × 75,567.84
  4. Step 4: Simplify right side
    195,426.98x = 22,139,240,096.36
  5. Step 5: Solve for x
    x = 22,139,240,096.36/195,426.98
  6. Step 6: Final answer
    x = 113,286.51

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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.