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Finding the Fourth Proportional to 186,873.75, 257,892.89 and 106,308.63

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Solution

The fourth proportional to 186,873.75, 257,892.89 and 106,308.63 is: 146,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,873.75 : 257,892.89 = 106,308.63 : x
  2. Step 2: Convert to fraction form
    186,873.75/257,892.89 = 106,308.63/x
  3. Step 3: Cross multiply
    186,873.75x = 257,892.89 × 106,308.63
  4. Step 4: Simplify right side
    186,873.75x = 27,416,239,291.10
  5. Step 5: Solve for x
    x = 27,416,239,291.10/186,873.75
  6. Step 6: Final answer
    x = 146,709.95

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1.5x scale

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.