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Finding the Fourth Proportional to 176,745.40, 264,729.30 and 157,046.20

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Solution

The fourth proportional to 176,745.40, 264,729.30 and 157,046.20 is: 235,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,745.40 : 264,729.30 = 157,046.20 : x
  2. Step 2: Convert to fraction form
    176,745.40/264,729.30 = 157,046.20/x
  3. Step 3: Cross multiply
    176,745.40x = 264,729.30 × 157,046.20
  4. Step 4: Simplify right side
    176,745.40x = 41,574,730,593.66
  5. Step 5: Solve for x
    x = 41,574,730,593.66/176,745.40
  6. Step 6: Final answer
    x = 235,223.83

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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.