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Finding the Fourth Proportional to 141,055.12, 194,668.68 and 77,405.32

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Solution

The fourth proportional to 141,055.12, 194,668.68 and 77,405.32 is: 106,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,055.12 : 194,668.68 = 77,405.32 : x
  2. Step 2: Convert to fraction form
    141,055.12/194,668.68 = 77,405.32/x
  3. Step 3: Cross multiply
    141,055.12x = 194,668.68 × 77,405.32
  4. Step 4: Simplify right side
    141,055.12x = 15,068,391,469.38
  5. Step 5: Solve for x
    x = 15,068,391,469.38/141,055.12
  6. Step 6: Final answer
    x = 106,826.26

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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.