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Finding the Fourth Proportional to 146,878.88, 202,693.05 and 83,220.98

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Solution

The fourth proportional to 146,878.88, 202,693.05 and 83,220.98 is: 114,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,878.88 : 202,693.05 = 83,220.98 : x
  2. Step 2: Convert to fraction form
    146,878.88/202,693.05 = 83,220.98/x
  3. Step 3: Cross multiply
    146,878.88x = 202,693.05 × 83,220.98
  4. Step 4: Simplify right side
    146,878.88x = 16,868,313,246.72
  5. Step 5: Solve for x
    x = 16,868,313,246.72/146,878.88
  6. Step 6: Final answer
    x = 114,845.06

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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.