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Finding the Fourth Proportional to 141,063.84, 194,653.92 and 84,473.76

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Solution

The fourth proportional to 141,063.84, 194,653.92 and 84,473.76 is: 116,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,063.84 : 194,653.92 = 84,473.76 : x
  2. Step 2: Convert to fraction form
    141,063.84/194,653.92 = 84,473.76/x
  3. Step 3: Cross multiply
    141,063.84x = 194,653.92 × 84,473.76
  4. Step 4: Simplify right side
    141,063.84x = 16,443,148,521.14
  5. Step 5: Solve for x
    x = 16,443,148,521.14/141,063.84
  6. Step 6: Final answer
    x = 116,565.30

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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.