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Finding the Fourth Proportional to 358,584.96, 537,935.82 and 105,891

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Solution

The fourth proportional to 358,584.96, 537,935.82 and 105,891 is: 158,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,584.96 : 537,935.82 = 105,891 : x
  2. Step 2: Convert to fraction form
    358,584.96/537,935.82 = 105,891/x
  3. Step 3: Cross multiply
    358,584.96x = 537,935.82 × 105,891
  4. Step 4: Simplify right side
    358,584.96x = 56,962,561,915.62
  5. Step 5: Solve for x
    x = 56,962,561,915.62/358,584.96
  6. Step 6: Final answer
    x = 158,853.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.