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Finding the Fourth Proportional to 141,170.22, 194,808.78 and 77,509.08

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Solution

The fourth proportional to 141,170.22, 194,808.78 and 77,509.08 is: 106,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,170.22 : 194,808.78 = 77,509.08 : x
  2. Step 2: Convert to fraction form
    141,170.22/194,808.78 = 77,509.08/x
  3. Step 3: Cross multiply
    141,170.22x = 194,808.78 × 77,509.08
  4. Step 4: Simplify right side
    141,170.22x = 15,099,449,313.72
  5. Step 5: Solve for x
    x = 15,099,449,313.72/141,170.22
  6. Step 6: Final answer
    x = 106,959.17

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1.5x scale

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.