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Finding the Fourth Proportional to 188,066.98, 259,532.68 and 103,184.38

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Solution

The fourth proportional to 188,066.98, 259,532.68 and 103,184.38 is: 142,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,066.98 : 259,532.68 = 103,184.38 : x
  2. Step 2: Convert to fraction form
    188,066.98/259,532.68 = 103,184.38/x
  3. Step 3: Cross multiply
    188,066.98x = 259,532.68 × 103,184.38
  4. Step 4: Simplify right side
    188,066.98x = 26,779,718,675.54
  5. Step 5: Solve for x
    x = 26,779,718,675.54/188,066.98
  6. Step 6: Final answer
    x = 142,394.58

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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.