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Finding the Fourth Proportional to 141,197.38, 194,853.74 and 77,536.51

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Solution

The fourth proportional to 141,197.38, 194,853.74 and 77,536.51 is: 107,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,197.38 : 194,853.74 = 77,536.51 : x
  2. Step 2: Convert to fraction form
    141,197.38/194,853.74 = 77,536.51/x
  3. Step 3: Cross multiply
    141,197.38x = 194,853.74 × 77,536.51
  4. Step 4: Simplify right side
    141,197.38x = 15,108,278,085.23
  5. Step 5: Solve for x
    x = 15,108,278,085.23/141,197.38
  6. Step 6: Final answer
    x = 107,001.12

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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.