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Finding the Fourth Proportional to 186,736.59, 257,695.29 and 106,164.15

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Solution

The fourth proportional to 186,736.59, 257,695.29 and 106,164.15 is: 146,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,736.59 : 257,695.29 = 106,164.15 : x
  2. Step 2: Convert to fraction form
    186,736.59/257,695.29 = 106,164.15/x
  3. Step 3: Cross multiply
    186,736.59x = 257,695.29 × 106,164.15
  4. Step 4: Simplify right side
    186,736.59x = 27,358,001,421.85
  5. Step 5: Solve for x
    x = 27,358,001,421.85/186,736.59
  6. Step 6: Final answer
    x = 146,505.84

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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.