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Finding the Fourth Proportional to 105,162.44, 157,744.06 and 26,276.74

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Solution

The fourth proportional to 105,162.44, 157,744.06 and 26,276.74 is: 39,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162.44 : 157,744.06 = 26,276.74 : x
  2. Step 2: Convert to fraction form
    105,162.44/157,744.06 = 26,276.74/x
  3. Step 3: Cross multiply
    105,162.44x = 157,744.06 × 26,276.74
  4. Step 4: Simplify right side
    105,162.44x = 4,144,999,191.11
  5. Step 5: Solve for x
    x = 4,144,999,191.11/105,162.44
  6. Step 6: Final answer
    x = 39,415.21

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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.