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Finding the Fourth Proportional to 104,142.06, 143,716 and 56,395.38

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Solution

The fourth proportional to 104,142.06, 143,716 and 56,395.38 is: 77,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,142.06 : 143,716 = 56,395.38 : x
  2. Step 2: Convert to fraction form
    104,142.06/143,716 = 56,395.38/x
  3. Step 3: Cross multiply
    104,142.06x = 143,716 × 56,395.38
  4. Step 4: Simplify right side
    104,142.06x = 8,104,918,432.08
  5. Step 5: Solve for x
    x = 8,104,918,432.08/104,142.06
  6. Step 6: Final answer
    x = 77,825.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.