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Finding the Fourth Proportional to 101,460.95, 140,020.24 and 56,138.20

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Solution

The fourth proportional to 101,460.95, 140,020.24 and 56,138.20 is: 77,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460.95 : 140,020.24 = 56,138.20 : x
  2. Step 2: Convert to fraction form
    101,460.95/140,020.24 = 56,138.20/x
  3. Step 3: Cross multiply
    101,460.95x = 140,020.24 × 56,138.20
  4. Step 4: Simplify right side
    101,460.95x = 7,860,483,537.07
  5. Step 5: Solve for x
    x = 7,860,483,537.07/101,460.95
  6. Step 6: Final answer
    x = 77,472.99

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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.