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Finding the Fourth Proportional to 158,391.44, 237,567.35 and 51,766.48

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Solution

The fourth proportional to 158,391.44, 237,567.35 and 51,766.48 is: 77,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,391.44 : 237,567.35 = 51,766.48 : x
  2. Step 2: Convert to fraction form
    158,391.44/237,567.35 = 51,766.48/x
  3. Step 3: Cross multiply
    158,391.44x = 237,567.35 × 51,766.48
  4. Step 4: Simplify right side
    158,391.44x = 12,298,025,472.43
  5. Step 5: Solve for x
    x = 12,298,025,472.43/158,391.44
  6. Step 6: Final answer
    x = 77,643.25

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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.