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Finding the Fourth Proportional to 160,172.38, 221,031.93 and 92,199.82

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Solution

The fourth proportional to 160,172.38, 221,031.93 and 92,199.82 is: 127,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,172.38 : 221,031.93 = 92,199.82 : x
  2. Step 2: Convert to fraction form
    160,172.38/221,031.93 = 92,199.82/x
  3. Step 3: Cross multiply
    160,172.38x = 221,031.93 × 92,199.82
  4. Step 4: Simplify right side
    160,172.38x = 20,379,104,160.25
  5. Step 5: Solve for x
    x = 20,379,104,160.25/160,172.38
  6. Step 6: Final answer
    x = 127,232.32

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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.