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Finding the Fourth Proportional to 106,941.93, 160,347.93 and 53,571.84

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Solution

The fourth proportional to 106,941.93, 160,347.93 and 53,571.84 is: 80,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,941.93 : 160,347.93 = 53,571.84 : x
  2. Step 2: Convert to fraction form
    106,941.93/160,347.93 = 53,571.84/x
  3. Step 3: Cross multiply
    106,941.93x = 160,347.93 × 53,571.84
  4. Step 4: Simplify right side
    106,941.93x = 8,590,133,650.29
  5. Step 5: Solve for x
    x = 8,590,133,650.29/106,941.93
  6. Step 6: Final answer
    x = 80,325.22

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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.