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Finding the Fourth Proportional to 105,907.50, 146,165.31 and 61,195.50

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Solution

The fourth proportional to 105,907.50, 146,165.31 and 61,195.50 is: 84,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907.50 : 146,165.31 = 61,195.50 : x
  2. Step 2: Convert to fraction form
    105,907.50/146,165.31 = 61,195.50/x
  3. Step 3: Cross multiply
    105,907.50x = 146,165.31 × 61,195.50
  4. Step 4: Simplify right side
    105,907.50x = 8,944,659,228.11
  5. Step 5: Solve for x
    x = 8,944,659,228.11/105,907.50
  6. Step 6: Final answer
    x = 84,457.28

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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.