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Finding the Fourth Proportional to 141,217.84, 194,880.38 and 77,555.64

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Solution

The fourth proportional to 141,217.84, 194,880.38 and 77,555.64 is: 107,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,217.84 : 194,880.38 = 77,555.64 : x
  2. Step 2: Convert to fraction form
    141,217.84/194,880.38 = 77,555.64/x
  3. Step 3: Cross multiply
    141,217.84x = 194,880.38 × 77,555.64
  4. Step 4: Simplify right side
    141,217.84x = 15,114,072,594.34
  5. Step 5: Solve for x
    x = 15,114,072,594.34/141,217.84
  6. Step 6: Final answer
    x = 107,026.65

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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.