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Finding the Fourth Proportional to 106,471.65, 146,930.60 and 61,152.58

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Solution

The fourth proportional to 106,471.65, 146,930.60 and 61,152.58 is: 84,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.65 : 146,930.60 = 61,152.58 : x
  2. Step 2: Convert to fraction form
    106,471.65/146,930.60 = 61,152.58/x
  3. Step 3: Cross multiply
    106,471.65x = 146,930.60 × 61,152.58
  4. Step 4: Simplify right side
    106,471.65x = 8,985,184,609.02
  5. Step 5: Solve for x
    x = 8,985,184,609.02/106,471.65
  6. Step 6: Final answer
    x = 84,390.39

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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.