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Finding the Fourth Proportional to 209,818.80, 314,728.20 and 181,278.45

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Solution

The fourth proportional to 209,818.80, 314,728.20 and 181,278.45 is: 271,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,818.80 : 314,728.20 = 181,278.45 : x
  2. Step 2: Convert to fraction form
    209,818.80/314,728.20 = 181,278.45/x
  3. Step 3: Cross multiply
    209,818.80x = 314,728.20 × 181,278.45
  4. Step 4: Simplify right side
    209,818.80x = 57,053,440,267.29
  5. Step 5: Solve for x
    x = 57,053,440,267.29/209,818.80
  6. Step 6: Final answer
    x = 271,917.68

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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.