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Finding the Fourth Proportional to 186,906.39, 257,930.76 and 102,023.46

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Solution

The fourth proportional to 186,906.39, 257,930.76 and 102,023.46 is: 140,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906.39 : 257,930.76 = 102,023.46 : x
  2. Step 2: Convert to fraction form
    186,906.39/257,930.76 = 102,023.46/x
  3. Step 3: Cross multiply
    186,906.39x = 257,930.76 × 102,023.46
  4. Step 4: Simplify right side
    186,906.39x = 26,314,988,575.63
  5. Step 5: Solve for x
    x = 26,314,988,575.63/186,906.39
  6. Step 6: Final answer
    x = 140,792.34

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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.