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Finding the Fourth Proportional to 141,051.84, 194,637.12 and 84,461.76

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Solution

The fourth proportional to 141,051.84, 194,637.12 and 84,461.76 is: 116,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,051.84 : 194,637.12 = 84,461.76 : x
  2. Step 2: Convert to fraction form
    141,051.84/194,637.12 = 84,461.76/x
  3. Step 3: Cross multiply
    141,051.84x = 194,637.12 × 84,461.76
  4. Step 4: Simplify right side
    141,051.84x = 16,439,393,716.53
  5. Step 5: Solve for x
    x = 16,439,393,716.53/141,051.84
  6. Step 6: Final answer
    x = 116,548.59

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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.