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Finding the Fourth Proportional to 106,354.83, 146,770.64 and 58,609.89

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Solution

The fourth proportional to 106,354.83, 146,770.64 and 58,609.89 is: 80,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354.83 : 146,770.64 = 58,609.89 : x
  2. Step 2: Convert to fraction form
    106,354.83/146,770.64 = 58,609.89/x
  3. Step 3: Cross multiply
    106,354.83x = 146,770.64 × 58,609.89
  4. Step 4: Simplify right side
    106,354.83x = 8,602,210,772.58
  5. Step 5: Solve for x
    x = 8,602,210,772.58/106,354.83
  6. Step 6: Final answer
    x = 80,882.18

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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.