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Finding the Fourth Proportional to 186,858.36, 257,856.48 and 106,274.52

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Solution

The fourth proportional to 186,858.36, 257,856.48 and 106,274.52 is: 146,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858.36 : 257,856.48 = 106,274.52 : x
  2. Step 2: Convert to fraction form
    186,858.36/257,856.48 = 106,274.52/x
  3. Step 3: Cross multiply
    186,858.36x = 257,856.48 × 106,274.52
  4. Step 4: Simplify right side
    186,858.36x = 27,403,573,640.89
  5. Step 5: Solve for x
    x = 27,403,573,640.89/186,858.36
  6. Step 6: Final answer
    x = 146,654.26

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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.