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Finding the Fourth Proportional to 201,882.80, 302,714.85 and 83,566.10

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Solution

The fourth proportional to 201,882.80, 302,714.85 and 83,566.10 is: 125,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.80 : 302,714.85 = 83,566.10 : x
  2. Step 2: Convert to fraction form
    201,882.80/302,714.85 = 83,566.10/x
  3. Step 3: Cross multiply
    201,882.80x = 302,714.85 × 83,566.10
  4. Step 4: Simplify right side
    201,882.80x = 25,296,699,426.59
  5. Step 5: Solve for x
    x = 25,296,699,426.59/201,882.80
  6. Step 6: Final answer
    x = 125,303.89

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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.