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Finding the Fourth Proportional to 148,776.50, 205,330.29 and 92,196.38

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Solution

The fourth proportional to 148,776.50, 205,330.29 and 92,196.38 is: 127,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,776.50 : 205,330.29 = 92,196.38 : x
  2. Step 2: Convert to fraction form
    148,776.50/205,330.29 = 92,196.38/x
  3. Step 3: Cross multiply
    148,776.50x = 205,330.29 × 92,196.38
  4. Step 4: Simplify right side
    148,776.50x = 18,930,709,442.35
  5. Step 5: Solve for x
    x = 18,930,709,442.35/148,776.50
  6. Step 6: Final answer
    x = 127,242.61

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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.