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Finding the Fourth Proportional to 167,957.20, 231,763.74 and 103,416.20

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Solution

The fourth proportional to 167,957.20, 231,763.74 and 103,416.20 is: 142,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,957.20 : 231,763.74 = 103,416.20 : x
  2. Step 2: Convert to fraction form
    167,957.20/231,763.74 = 103,416.20/x
  3. Step 3: Cross multiply
    167,957.20x = 231,763.74 × 103,416.20
  4. Step 4: Simplify right side
    167,957.20x = 23,968,125,288.59
  5. Step 5: Solve for x
    x = 23,968,125,288.59/167,957.20
  6. Step 6: Final answer
    x = 142,703.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.