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Finding the Fourth Proportional to 141,168.68, 194,813.16 and 77,510.60

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Solution

The fourth proportional to 141,168.68, 194,813.16 and 77,510.60 is: 106,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,168.68 : 194,813.16 = 77,510.60 : x
  2. Step 2: Convert to fraction form
    141,168.68/194,813.16 = 77,510.60/x
  3. Step 3: Cross multiply
    141,168.68x = 194,813.16 × 77,510.60
  4. Step 4: Simplify right side
    141,168.68x = 15,100,084,919.50
  5. Step 5: Solve for x
    x = 15,100,084,919.50/141,168.68
  6. Step 6: Final answer
    x = 106,964.84

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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.