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Finding the Fourth Proportional to 101,735.12, 140,402.80 and 56,427.36

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Solution

The fourth proportional to 101,735.12, 140,402.80 and 56,427.36 is: 77,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,735.12 : 140,402.80 = 56,427.36 : x
  2. Step 2: Convert to fraction form
    101,735.12/140,402.80 = 56,427.36/x
  3. Step 3: Cross multiply
    101,735.12x = 140,402.80 × 56,427.36
  4. Step 4: Simplify right side
    101,735.12x = 7,922,559,340.61
  5. Step 5: Solve for x
    x = 7,922,559,340.61/101,735.12
  6. Step 6: Final answer
    x = 77,874.38

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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.