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Finding the Fourth Proportional to 186,795, 257,777.10 and 119,727

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Solution

The fourth proportional to 186,795, 257,777.10 and 119,727 is: 165,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,795 : 257,777.10 = 119,727 : x
  2. Step 2: Convert to fraction form
    186,795/257,777.10 = 119,727/x
  3. Step 3: Cross multiply
    186,795x = 257,777.10 × 119,727
  4. Step 4: Simplify right side
    186,795x = 30,862,878,851.70
  5. Step 5: Solve for x
    x = 30,862,878,851.70/186,795
  6. Step 6: Final answer
    x = 165,223.26

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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.