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Finding the Fourth Proportional to 195,500.50, 269,792.13 and 106,076.50

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Solution

The fourth proportional to 195,500.50, 269,792.13 and 106,076.50 is: 146,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,500.50 : 269,792.13 = 106,076.50 : x
  2. Step 2: Convert to fraction form
    195,500.50/269,792.13 = 106,076.50/x
  3. Step 3: Cross multiply
    195,500.50x = 269,792.13 × 106,076.50
  4. Step 4: Simplify right side
    195,500.50x = 28,618,604,877.95
  5. Step 5: Solve for x
    x = 28,618,604,877.95/195,500.50
  6. Step 6: Final answer
    x = 146,386.35

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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.