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Finding the Fourth Proportional to 105,163.94, 157,746.32 and 26,278.25

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Solution

The fourth proportional to 105,163.94, 157,746.32 and 26,278.25 is: 39,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163.94 : 157,746.32 = 26,278.25 : x
  2. Step 2: Convert to fraction form
    105,163.94/157,746.32 = 26,278.25/x
  3. Step 3: Cross multiply
    105,163.94x = 157,746.32 × 26,278.25
  4. Step 4: Simplify right side
    105,163.94x = 4,145,296,313.42
  5. Step 5: Solve for x
    x = 4,145,296,313.42/105,163.94
  6. Step 6: Final answer
    x = 39,417.47

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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.