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Finding the Fourth Proportional to 129,674.25, 194,511.38 and 36,180

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Solution

The fourth proportional to 129,674.25, 194,511.38 and 36,180 is: 54,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,674.25 : 194,511.38 = 36,180 : x
  2. Step 2: Convert to fraction form
    129,674.25/194,511.38 = 36,180/x
  3. Step 3: Cross multiply
    129,674.25x = 194,511.38 × 36,180
  4. Step 4: Simplify right side
    129,674.25x = 7,037,421,547.50
  5. Step 5: Solve for x
    x = 7,037,421,547.50/129,674.25
  6. Step 6: Final answer
    x = 54,270

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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.