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Finding the Fourth Proportional to 186,735.78, 257,693.13 and 101,851.02

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Solution

The fourth proportional to 186,735.78, 257,693.13 and 101,851.02 is: 140,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,735.78 : 257,693.13 = 101,851.02 : x
  2. Step 2: Convert to fraction form
    186,735.78/257,693.13 = 101,851.02/x
  3. Step 3: Cross multiply
    186,735.78x = 257,693.13 × 101,851.02
  4. Step 4: Simplify right side
    186,735.78x = 26,246,308,137.49
  5. Step 5: Solve for x
    x = 26,246,308,137.49/186,735.78
  6. Step 6: Final answer
    x = 140,553.18

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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.