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Finding the Fourth Proportional to 114,148.80, 171,223.20 and 31,042.80

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Solution

The fourth proportional to 114,148.80, 171,223.20 and 31,042.80 is: 46,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,148.80 : 171,223.20 = 31,042.80 : x
  2. Step 2: Convert to fraction form
    114,148.80/171,223.20 = 31,042.80/x
  3. Step 3: Cross multiply
    114,148.80x = 171,223.20 × 31,042.80
  4. Step 4: Simplify right side
    114,148.80x = 5,315,247,552.96
  5. Step 5: Solve for x
    x = 5,315,247,552.96/114,148.80
  6. Step 6: Final answer
    x = 46,564.20

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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.