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Finding the Fourth Proportional to 201,008.12, 301,118.10 and 116,590.94

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Solution

The fourth proportional to 201,008.12, 301,118.10 and 116,590.94 is: 174,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,008.12 : 301,118.10 = 116,590.94 : x
  2. Step 2: Convert to fraction form
    201,008.12/301,118.10 = 116,590.94/x
  3. Step 3: Cross multiply
    201,008.12x = 301,118.10 × 116,590.94
  4. Step 4: Simplify right side
    201,008.12x = 35,107,642,330.01
  5. Step 5: Solve for x
    x = 35,107,642,330.01/201,008.12
  6. Step 6: Final answer
    x = 174,657.83

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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.