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Finding the Fourth Proportional to 105,273.01, 157,934.30 and 34,195.43

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Solution

The fourth proportional to 105,273.01, 157,934.30 and 34,195.43 is: 51,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,273.01 : 157,934.30 = 34,195.43 : x
  2. Step 2: Convert to fraction form
    105,273.01/157,934.30 = 34,195.43/x
  3. Step 3: Cross multiply
    105,273.01x = 157,934.30 × 34,195.43
  4. Step 4: Simplify right side
    105,273.01x = 5,400,630,510.58
  5. Step 5: Solve for x
    x = 5,400,630,510.58/105,273.01
  6. Step 6: Final answer
    x = 51,301.19

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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.