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Finding the Fourth Proportional to 141,070.17, 194,676.30 and 77,409.03

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Solution

The fourth proportional to 141,070.17, 194,676.30 and 77,409.03 is: 106,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,070.17 : 194,676.30 = 77,409.03 : x
  2. Step 2: Convert to fraction form
    141,070.17/194,676.30 = 77,409.03/x
  3. Step 3: Cross multiply
    141,070.17x = 194,676.30 × 77,409.03
  4. Step 4: Simplify right side
    141,070.17x = 15,069,703,546.99
  5. Step 5: Solve for x
    x = 15,069,703,546.99/141,070.17
  6. Step 6: Final answer
    x = 106,824.17

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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.