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Finding the Fourth Proportional to 123,841.14, 170,953.08 and 83,609.38

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Solution

The fourth proportional to 123,841.14, 170,953.08 and 83,609.38 is: 115,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,841.14 : 170,953.08 = 83,609.38 : x
  2. Step 2: Convert to fraction form
    123,841.14/170,953.08 = 83,609.38/x
  3. Step 3: Cross multiply
    123,841.14x = 170,953.08 × 83,609.38
  4. Step 4: Simplify right side
    123,841.14x = 14,293,281,027.89
  5. Step 5: Solve for x
    x = 14,293,281,027.89/123,841.14
  6. Step 6: Final answer
    x = 115,416.26

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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.