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Finding the Fourth Proportional to 186,398.25, 257,236.86 and 105,833.28

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Solution

The fourth proportional to 186,398.25, 257,236.86 and 105,833.28 is: 146,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,398.25 : 257,236.86 = 105,833.28 : x
  2. Step 2: Convert to fraction form
    186,398.25/257,236.86 = 105,833.28/x
  3. Step 3: Cross multiply
    186,398.25x = 257,236.86 × 105,833.28
  4. Step 4: Simplify right side
    186,398.25x = 27,224,220,630.70
  5. Step 5: Solve for x
    x = 27,224,220,630.70/186,398.25
  6. Step 6: Final answer
    x = 146,054.06

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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.