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Finding the Fourth Proportional to 186,690.79, 257,656.43 and 114,078.74

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Solution

The fourth proportional to 186,690.79, 257,656.43 and 114,078.74 is: 157,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,690.79 : 257,656.43 = 114,078.74 : x
  2. Step 2: Convert to fraction form
    186,690.79/257,656.43 = 114,078.74/x
  3. Step 3: Cross multiply
    186,690.79x = 257,656.43 × 114,078.74
  4. Step 4: Simplify right side
    186,690.79x = 29,393,121,816.64
  5. Step 5: Solve for x
    x = 29,393,121,816.64/186,690.79
  6. Step 6: Final answer
    x = 157,442.81

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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.