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Finding the Fourth Proportional to 186,771.53, 257,744.36 and 101,888.58

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Solution

The fourth proportional to 186,771.53, 257,744.36 and 101,888.58 is: 140,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,771.53 : 257,744.36 = 101,888.58 : x
  2. Step 2: Convert to fraction form
    186,771.53/257,744.36 = 101,888.58/x
  3. Step 3: Cross multiply
    186,771.53x = 257,744.36 × 101,888.58
  4. Step 4: Simplify right side
    186,771.53x = 26,261,206,333.97
  5. Step 5: Solve for x
    x = 26,261,206,333.97/186,771.53
  6. Step 6: Final answer
    x = 140,606.05

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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.