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Finding the Fourth Proportional to 141,053.84, 194,639.88 and 84,463.76

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Solution

The fourth proportional to 141,053.84, 194,639.88 and 84,463.76 is: 116,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,053.84 : 194,639.88 = 84,463.76 : x
  2. Step 2: Convert to fraction form
    141,053.84/194,639.88 = 84,463.76/x
  3. Step 3: Cross multiply
    141,053.84x = 194,639.88 × 84,463.76
  4. Step 4: Simplify right side
    141,053.84x = 16,440,016,110.75
  5. Step 5: Solve for x
    x = 16,440,016,110.75/141,053.84
  6. Step 6: Final answer
    x = 116,551.35

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Why These Related Problems?

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