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Finding the Fourth Proportional to 106,355.25, 146,769.62 and 57,957.08

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Solution

The fourth proportional to 106,355.25, 146,769.62 and 57,957.08 is: 79,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,355.25 : 146,769.62 = 57,957.08 : x
  2. Step 2: Convert to fraction form
    106,355.25/146,769.62 = 57,957.08/x
  3. Step 3: Cross multiply
    106,355.25x = 146,769.62 × 57,957.08
  4. Step 4: Simplify right side
    106,355.25x = 8,506,337,584.28
  5. Step 5: Solve for x
    x = 8,506,337,584.28/106,355.25
  6. Step 6: Final answer
    x = 79,980.42

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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.