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Finding the Fourth Proportional to 157,174.44, 216,750 and 105,608.16

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Solution

The fourth proportional to 157,174.44, 216,750 and 105,608.16 is: 145,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,174.44 : 216,750 = 105,608.16 : x
  2. Step 2: Convert to fraction form
    157,174.44/216,750 = 105,608.16/x
  3. Step 3: Cross multiply
    157,174.44x = 216,750 × 105,608.16
  4. Step 4: Simplify right side
    157,174.44x = 22,890,568,680
  5. Step 5: Solve for x
    x = 22,890,568,680/157,174.44
  6. Step 6: Final answer
    x = 145,637.98

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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.