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Finding the Fourth Proportional to 141,216.34, 194,878.31 and 77,554.13

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Solution

The fourth proportional to 141,216.34, 194,878.31 and 77,554.13 is: 107,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,216.34 : 194,878.31 = 77,554.13 : x
  2. Step 2: Convert to fraction form
    141,216.34/194,878.31 = 77,554.13/x
  3. Step 3: Cross multiply
    141,216.34x = 194,878.31 × 77,554.13
  4. Step 4: Simplify right side
    141,216.34x = 15,113,617,787.92
  5. Step 5: Solve for x
    x = 15,113,617,787.92/141,216.34
  6. Step 6: Final answer
    x = 107,024.57

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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.