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Finding the Fourth Proportional to 100,913, 139,264.26 and 56,201

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Solution

The fourth proportional to 100,913, 139,264.26 and 56,201 is: 77,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,913 : 139,264.26 = 56,201 : x
  2. Step 2: Convert to fraction form
    100,913/139,264.26 = 56,201/x
  3. Step 3: Cross multiply
    100,913x = 139,264.26 × 56,201
  4. Step 4: Simplify right side
    100,913x = 7,826,790,676.26
  5. Step 5: Solve for x
    x = 7,826,790,676.26/100,913
  6. Step 6: Final answer
    x = 77,559.79

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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.