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Finding the Fourth Proportional to 201,967.80, 302,951.70 and 108,655.80

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Solution

The fourth proportional to 201,967.80, 302,951.70 and 108,655.80 is: 162,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967.80 : 302,951.70 = 108,655.80 : x
  2. Step 2: Convert to fraction form
    201,967.80/302,951.70 = 108,655.80/x
  3. Step 3: Cross multiply
    201,967.80x = 302,951.70 × 108,655.80
  4. Step 4: Simplify right side
    201,967.80x = 32,917,459,324.86
  5. Step 5: Solve for x
    x = 32,917,459,324.86/201,967.80
  6. Step 6: Final answer
    x = 162,983.70

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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.