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Finding the Fourth Proportional to 141,090.39, 194,707.08 and 77,434.11

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Solution

The fourth proportional to 141,090.39, 194,707.08 and 77,434.11 is: 106,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,090.39 : 194,707.08 = 77,434.11 : x
  2. Step 2: Convert to fraction form
    141,090.39/194,707.08 = 77,434.11/x
  3. Step 3: Cross multiply
    141,090.39x = 194,707.08 × 77,434.11
  4. Step 4: Simplify right side
    141,090.39x = 15,076,969,450.50
  5. Step 5: Solve for x
    x = 15,076,969,450.50/141,090.39
  6. Step 6: Final answer
    x = 106,860.36

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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.