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Finding the Fourth Proportional to 125,778.56, 188,609.51 and 46,871.60

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Solution

The fourth proportional to 125,778.56, 188,609.51 and 46,871.60 is: 70,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,778.56 : 188,609.51 = 46,871.60 : x
  2. Step 2: Convert to fraction form
    125,778.56/188,609.51 = 46,871.60/x
  3. Step 3: Cross multiply
    125,778.56x = 188,609.51 × 46,871.60
  4. Step 4: Simplify right side
    125,778.56x = 8,840,428,683.05
  5. Step 5: Solve for x
    x = 8,840,428,683.05/125,778.56
  6. Step 6: Final answer
    x = 70,285.66

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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.