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Finding the Fourth Proportional to 186,687.78, 257,648.58 and 115,065.96

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Solution

The fourth proportional to 186,687.78, 257,648.58 and 115,065.96 is: 158,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,687.78 : 257,648.58 = 115,065.96 : x
  2. Step 2: Convert to fraction form
    186,687.78/257,648.58 = 115,065.96/x
  3. Step 3: Cross multiply
    186,687.78x = 257,648.58 × 115,065.96
  4. Step 4: Simplify right side
    186,687.78x = 29,646,581,522.40
  5. Step 5: Solve for x
    x = 29,646,581,522.40/186,687.78
  6. Step 6: Final answer
    x = 158,803.01

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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.