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Finding the Fourth Proportional to 188,712, 260,426.61 and 103,829.22

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Solution

The fourth proportional to 188,712, 260,426.61 and 103,829.22 is: 143,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,712 : 260,426.61 = 103,829.22 : x
  2. Step 2: Convert to fraction form
    188,712/260,426.61 = 103,829.22/x
  3. Step 3: Cross multiply
    188,712x = 260,426.61 × 103,829.22
  4. Step 4: Simplify right side
    188,712x = 27,039,891,783.54
  5. Step 5: Solve for x
    x = 27,039,891,783.54/188,712
  6. Step 6: Final answer
    x = 143,286.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.