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Finding the Fourth Proportional to 200,999.34, 301,104.81 and 116,582.10

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Solution

The fourth proportional to 200,999.34, 301,104.81 and 116,582.10 is: 174,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.34 : 301,104.81 = 116,582.10 : x
  2. Step 2: Convert to fraction form
    200,999.34/301,104.81 = 116,582.10/x
  3. Step 3: Cross multiply
    200,999.34x = 301,104.81 × 116,582.10
  4. Step 4: Simplify right side
    200,999.34x = 35,103,431,069.90
  5. Step 5: Solve for x
    x = 35,103,431,069.90/200,999.34
  6. Step 6: Final answer
    x = 174,644.51

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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.