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Finding the Fourth Proportional to 106,113, 146,456.75 and 60,821.35

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Solution

The fourth proportional to 106,113, 146,456.75 and 60,821.35 is: 83,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,113 : 146,456.75 = 60,821.35 : x
  2. Step 2: Convert to fraction form
    106,113/146,456.75 = 60,821.35/x
  3. Step 3: Cross multiply
    106,113x = 146,456.75 × 60,821.35
  4. Step 4: Simplify right side
    106,113x = 8,907,696,581.36
  5. Step 5: Solve for x
    x = 8,907,696,581.36/106,113
  6. Step 6: Final answer
    x = 83,945.38

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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.