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Finding the Fourth Proportional to 141,074.50, 194,673.30 and 77,416.39

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Solution

The fourth proportional to 141,074.50, 194,673.30 and 77,416.39 is: 106,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,074.50 : 194,673.30 = 77,416.39 : x
  2. Step 2: Convert to fraction form
    141,074.50/194,673.30 = 77,416.39/x
  3. Step 3: Cross multiply
    141,074.50x = 194,673.30 × 77,416.39
  4. Step 4: Simplify right side
    141,074.50x = 15,070,904,115.39
  5. Step 5: Solve for x
    x = 15,070,904,115.39/141,074.50
  6. Step 6: Final answer
    x = 106,829.40

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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.