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Finding the Fourth Proportional to 206,726.76, 310,086.48 and 117,790.56

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Solution

The fourth proportional to 206,726.76, 310,086.48 and 117,790.56 is: 176,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,726.76 : 310,086.48 = 117,790.56 : x
  2. Step 2: Convert to fraction form
    206,726.76/310,086.48 = 117,790.56/x
  3. Step 3: Cross multiply
    206,726.76x = 310,086.48 × 117,790.56
  4. Step 4: Simplify right side
    206,726.76x = 36,525,260,127.63
  5. Step 5: Solve for x
    x = 36,525,260,127.63/206,726.76
  6. Step 6: Final answer
    x = 176,683.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.