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Finding the Fourth Proportional to 202,166.20, 302,714.70 and 161,998.30

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Solution

The fourth proportional to 202,166.20, 302,714.70 and 161,998.30 is: 242,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.20 : 302,714.70 = 161,998.30 : x
  2. Step 2: Convert to fraction form
    202,166.20/302,714.70 = 161,998.30/x
  3. Step 3: Cross multiply
    202,166.20x = 302,714.70 × 161,998.30
  4. Step 4: Simplify right side
    202,166.20x = 49,039,266,785.01
  5. Step 5: Solve for x
    x = 49,039,266,785.01/202,166.20
  6. Step 6: Final answer
    x = 242,569.07

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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.