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Finding the Fourth Proportional to 141,085.34, 194,703.39 and 77,425.42

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Solution

The fourth proportional to 141,085.34, 194,703.39 and 77,425.42 is: 106,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,085.34 : 194,703.39 = 77,425.42 : x
  2. Step 2: Convert to fraction form
    141,085.34/194,703.39 = 77,425.42/x
  3. Step 3: Cross multiply
    141,085.34x = 194,703.39 × 77,425.42
  4. Step 4: Simplify right side
    141,085.34x = 15,074,991,746.17
  5. Step 5: Solve for x
    x = 15,074,991,746.17/141,085.34
  6. Step 6: Final answer
    x = 106,850.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.