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Finding the Fourth Proportional to 129,914.88, 194,785.92 and 46,798.08

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Solution

The fourth proportional to 129,914.88, 194,785.92 and 46,798.08 is: 70,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,914.88 : 194,785.92 = 46,798.08 : x
  2. Step 2: Convert to fraction form
    129,914.88/194,785.92 = 46,798.08/x
  3. Step 3: Cross multiply
    129,914.88x = 194,785.92 × 46,798.08
  4. Step 4: Simplify right side
    129,914.88x = 9,115,607,067.03
  5. Step 5: Solve for x
    x = 9,115,607,067.03/129,914.88
  6. Step 6: Final answer
    x = 70,166.00

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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.