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Finding the Fourth Proportional to 186,906.30, 257,921.69 and 106,326.24

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Solution

The fourth proportional to 186,906.30, 257,921.69 and 106,326.24 is: 146,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906.30 : 257,921.69 = 106,326.24 : x
  2. Step 2: Convert to fraction form
    186,906.30/257,921.69 = 106,326.24/x
  3. Step 3: Cross multiply
    186,906.30x = 257,921.69 × 106,326.24
  4. Step 4: Simplify right side
    186,906.30x = 27,423,842,980.51
  5. Step 5: Solve for x
    x = 27,423,842,980.51/186,906.30
  6. Step 6: Final answer
    x = 146,725.09

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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.