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Finding the Fourth Proportional to 113,692.96, 170,657.72 and 83,741.02

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Solution

The fourth proportional to 113,692.96, 170,657.72 and 83,741.02 is: 125,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,692.96 : 170,657.72 = 83,741.02 : x
  2. Step 2: Convert to fraction form
    113,692.96/170,657.72 = 83,741.02/x
  3. Step 3: Cross multiply
    113,692.96x = 170,657.72 × 83,741.02
  4. Step 4: Simplify right side
    113,692.96x = 14,291,052,123.36
  5. Step 5: Solve for x
    x = 14,291,052,123.36/113,692.96
  6. Step 6: Final answer
    x = 125,698.65

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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.