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Finding the Fourth Proportional to 160,078.64, 240,131.60 and 47,751.60

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Solution

The fourth proportional to 160,078.64, 240,131.60 and 47,751.60 is: 71,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,078.64 : 240,131.60 = 47,751.60 : x
  2. Step 2: Convert to fraction form
    160,078.64/240,131.60 = 47,751.60/x
  3. Step 3: Cross multiply
    160,078.64x = 240,131.60 × 47,751.60
  4. Step 4: Simplify right side
    160,078.64x = 11,466,668,110.56
  5. Step 5: Solve for x
    x = 11,466,668,110.56/160,078.64
  6. Step 6: Final answer
    x = 71,631.47

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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.