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Finding the Fourth Proportional to 186,715, 257,881.78 and 135,954.76

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Solution

The fourth proportional to 186,715, 257,881.78 and 135,954.76 is: 187,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715 : 257,881.78 = 135,954.76 : x
  2. Step 2: Convert to fraction form
    186,715/257,881.78 = 135,954.76/x
  3. Step 3: Cross multiply
    186,715x = 257,881.78 × 135,954.76
  4. Step 4: Simplify right side
    186,715x = 35,060,255,508.27
  5. Step 5: Solve for x
    x = 35,060,255,508.27/186,715
  6. Step 6: Final answer
    x = 187,774.18

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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.