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Finding the Fourth Proportional to 186,614.01, 257,454.23 and 114,869.48

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Solution

The fourth proportional to 186,614.01, 257,454.23 and 114,869.48 is: 158,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,614.01 : 257,454.23 = 114,869.48 : x
  2. Step 2: Convert to fraction form
    186,614.01/257,454.23 = 114,869.48/x
  3. Step 3: Cross multiply
    186,614.01x = 257,454.23 × 114,869.48
  4. Step 4: Simplify right side
    186,614.01x = 29,573,631,662.28
  5. Step 5: Solve for x
    x = 29,573,631,662.28/186,614.01
  6. Step 6: Final answer
    x = 158,474.87

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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.