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Finding the Fourth Proportional to 186,446.70, 257,284.32 and 109,948.25

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Solution

The fourth proportional to 186,446.70, 257,284.32 and 109,948.25 is: 151,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446.70 : 257,284.32 = 109,948.25 : x
  2. Step 2: Convert to fraction form
    186,446.70/257,284.32 = 109,948.25/x
  3. Step 3: Cross multiply
    186,446.70x = 257,284.32 × 109,948.25
  4. Step 4: Simplify right side
    186,446.70x = 28,287,960,736.44
  5. Step 5: Solve for x
    x = 28,287,960,736.44/186,446.70
  6. Step 6: Final answer
    x = 151,721.43

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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.