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Finding the Fourth Proportional to 114,745.20, 172,117.80 and 114,745.20

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Solution

The fourth proportional to 114,745.20, 172,117.80 and 114,745.20 is: 172,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,745.20 : 172,117.80 = 114,745.20 : x
  2. Step 2: Convert to fraction form
    114,745.20/172,117.80 = 114,745.20/x
  3. Step 3: Cross multiply
    114,745.20x = 172,117.80 × 114,745.20
  4. Step 4: Simplify right side
    114,745.20x = 19,749,691,384.56
  5. Step 5: Solve for x
    x = 19,749,691,384.56/114,745.20
  6. Step 6: Final answer
    x = 172,117.80

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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.