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Finding the Fourth Proportional to 200,752.02, 301,128.03 and 82,522.80

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Solution

The fourth proportional to 200,752.02, 301,128.03 and 82,522.80 is: 123,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,752.02 : 301,128.03 = 82,522.80 : x
  2. Step 2: Convert to fraction form
    200,752.02/301,128.03 = 82,522.80/x
  3. Step 3: Cross multiply
    200,752.02x = 301,128.03 × 82,522.80
  4. Step 4: Simplify right side
    200,752.02x = 24,849,928,194.08
  5. Step 5: Solve for x
    x = 24,849,928,194.08/200,752.02
  6. Step 6: Final answer
    x = 123,784.20

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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.