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Finding the Fourth Proportional to 101,460, 140,015.28 and 56,748

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Solution

The fourth proportional to 101,460, 140,015.28 and 56,748 is: 78,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460 : 140,015.28 = 56,748 : x
  2. Step 2: Convert to fraction form
    101,460/140,015.28 = 56,748/x
  3. Step 3: Cross multiply
    101,460x = 140,015.28 × 56,748
  4. Step 4: Simplify right side
    101,460x = 7,945,587,109.44
  5. Step 5: Solve for x
    x = 7,945,587,109.44/101,460
  6. Step 6: Final answer
    x = 78,312.51

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