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Finding the Fourth Proportional to 113,795, 170,646.86 and 47,189.88

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Solution

The fourth proportional to 113,795, 170,646.86 and 47,189.88 is: 70,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,795 : 170,646.86 = 47,189.88 : x
  2. Step 2: Convert to fraction form
    113,795/170,646.86 = 47,189.88/x
  3. Step 3: Cross multiply
    113,795x = 170,646.86 × 47,189.88
  4. Step 4: Simplify right side
    113,795x = 8,052,804,845.78
  5. Step 5: Solve for x
    x = 8,052,804,845.78/113,795
  6. Step 6: Final answer
    x = 70,765.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.