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Finding the Fourth Proportional to 160,431.93, 221,546.09 and 103,170.69

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Solution

The fourth proportional to 160,431.93, 221,546.09 and 103,170.69 is: 142,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,431.93 : 221,546.09 = 103,170.69 : x
  2. Step 2: Convert to fraction form
    160,431.93/221,546.09 = 103,170.69/x
  3. Step 3: Cross multiply
    160,431.93x = 221,546.09 × 103,170.69
  4. Step 4: Simplify right side
    160,431.93x = 22,857,064,060.83
  5. Step 5: Solve for x
    x = 22,857,064,060.83/160,431.93
  6. Step 6: Final answer
    x = 142,472.03

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