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Finding the Fourth Proportional to 105,266.44, 157,893.18 and 35,139.88

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Solution

The fourth proportional to 105,266.44, 157,893.18 and 35,139.88 is: 52,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.44 : 157,893.18 = 35,139.88 : x
  2. Step 2: Convert to fraction form
    105,266.44/157,893.18 = 35,139.88/x
  3. Step 3: Cross multiply
    105,266.44x = 157,893.18 × 35,139.88
  4. Step 4: Simplify right side
    105,266.44x = 5,548,347,398.02
  5. Step 5: Solve for x
    x = 5,548,347,398.02/105,266.44
  6. Step 6: Final answer
    x = 52,707.66

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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.