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Finding the Fourth Proportional to 141,085.10, 194,699.82 and 77,428.82

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Solution

The fourth proportional to 141,085.10, 194,699.82 and 77,428.82 is: 106,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,085.10 : 194,699.82 = 77,428.82 : x
  2. Step 2: Convert to fraction form
    141,085.10/194,699.82 = 77,428.82/x
  3. Step 3: Cross multiply
    141,085.10x = 194,699.82 × 77,428.82
  4. Step 4: Simplify right side
    141,085.10x = 15,075,376,343.31
  5. Step 5: Solve for x
    x = 15,075,376,343.31/141,085.10
  6. Step 6: Final answer
    x = 106,853.08

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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.