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Finding the Fourth Proportional to 188,564.69, 260,212.68 and 103,681.14

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Solution

The fourth proportional to 188,564.69, 260,212.68 and 103,681.14 is: 143,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,564.69 : 260,212.68 = 103,681.14 : x
  2. Step 2: Convert to fraction form
    188,564.69/260,212.68 = 103,681.14/x
  3. Step 3: Cross multiply
    188,564.69x = 260,212.68 × 103,681.14
  4. Step 4: Simplify right side
    188,564.69x = 26,979,147,304.86
  5. Step 5: Solve for x
    x = 26,979,147,304.86/188,564.69
  6. Step 6: Final answer
    x = 143,076.35

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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.