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Finding the Fourth Proportional to 105,942.94, 146,214.21 and 61,230.94

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Solution

The fourth proportional to 105,942.94, 146,214.21 and 61,230.94 is: 84,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,942.94 : 146,214.21 = 61,230.94 : x
  2. Step 2: Convert to fraction form
    105,942.94/146,214.21 = 61,230.94/x
  3. Step 3: Cross multiply
    105,942.94x = 146,214.21 × 61,230.94
  4. Step 4: Simplify right side
    105,942.94x = 8,952,833,383.74
  5. Step 5: Solve for x
    x = 8,952,833,383.74/105,942.94
  6. Step 6: Final answer
    x = 84,506.18

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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.