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Finding the Fourth Proportional to 100,883, 139,228.26 and 56,171

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Solution

The fourth proportional to 100,883, 139,228.26 and 56,171 is: 77,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883 : 139,228.26 = 56,171 : x
  2. Step 2: Convert to fraction form
    100,883/139,228.26 = 56,171/x
  3. Step 3: Cross multiply
    100,883x = 139,228.26 × 56,171
  4. Step 4: Simplify right side
    100,883x = 7,820,590,592.46
  5. Step 5: Solve for x
    x = 7,820,590,592.46/100,883
  6. Step 6: Final answer
    x = 77,521.39

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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.