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Finding the Fourth Proportional to 194,814.68, 268,841.64 and 108,775

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Solution

The fourth proportional to 194,814.68, 268,841.64 and 108,775 is: 150,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,814.68 : 268,841.64 = 108,775 : x
  2. Step 2: Convert to fraction form
    194,814.68/268,841.64 = 108,775/x
  3. Step 3: Cross multiply
    194,814.68x = 268,841.64 × 108,775
  4. Step 4: Simplify right side
    194,814.68x = 29,243,249,391
  5. Step 5: Solve for x
    x = 29,243,249,391/194,814.68
  6. Step 6: Final answer
    x = 150,108.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.