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Finding the Fourth Proportional to 104,093.64, 143,649.24 and 56,347.38

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Solution

The fourth proportional to 104,093.64, 143,649.24 and 56,347.38 is: 77,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,093.64 : 143,649.24 = 56,347.38 : x
  2. Step 2: Convert to fraction form
    104,093.64/143,649.24 = 56,347.38/x
  3. Step 3: Cross multiply
    104,093.64x = 143,649.24 × 56,347.38
  4. Step 4: Simplify right side
    104,093.64x = 8,094,258,312.99
  5. Step 5: Solve for x
    x = 8,094,258,312.99/104,093.64
  6. Step 6: Final answer
    x = 77,759.39

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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.