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Finding the Fourth Proportional to 186,841, 257,957.22 and 119,889.64

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Solution

The fourth proportional to 186,841, 257,957.22 and 119,889.64 is: 165,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,841 : 257,957.22 = 119,889.64 : x
  2. Step 2: Convert to fraction form
    186,841/257,957.22 = 119,889.64/x
  3. Step 3: Cross multiply
    186,841x = 257,957.22 × 119,889.64
  4. Step 4: Simplify right side
    186,841x = 30,926,398,241.20
  5. Step 5: Solve for x
    x = 30,926,398,241.20/186,841
  6. Step 6: Final answer
    x = 165,522.55

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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.