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Finding the Fourth Proportional to 188,565.69, 260,214.06 and 103,682.14

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Solution

The fourth proportional to 188,565.69, 260,214.06 and 103,682.14 is: 143,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,565.69 : 260,214.06 = 103,682.14 : x
  2. Step 2: Convert to fraction form
    188,565.69/260,214.06 = 103,682.14/x
  3. Step 3: Cross multiply
    188,565.69x = 260,214.06 × 103,682.14
  4. Step 4: Simplify right side
    188,565.69x = 26,979,550,598.89
  5. Step 5: Solve for x
    x = 26,979,550,598.89/188,565.69
  6. Step 6: Final answer
    x = 143,077.73

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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.