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Finding the Fourth Proportional to 101,676.16, 140,314.14 and 56,355.14

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Solution

The fourth proportional to 101,676.16, 140,314.14 and 56,355.14 is: 77,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,676.16 : 140,314.14 = 56,355.14 : x
  2. Step 2: Convert to fraction form
    101,676.16/140,314.14 = 56,355.14/x
  3. Step 3: Cross multiply
    101,676.16x = 140,314.14 × 56,355.14
  4. Step 4: Simplify right side
    101,676.16x = 7,907,423,354.46
  5. Step 5: Solve for x
    x = 7,907,423,354.46/101,676.16
  6. Step 6: Final answer
    x = 77,770.67

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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.