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Finding the Fourth Proportional to 358,678.80, 537,892.47 and 105,891.84

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Solution

The fourth proportional to 358,678.80, 537,892.47 and 105,891.84 is: 158,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,678.80 : 537,892.47 = 105,891.84 : x
  2. Step 2: Convert to fraction form
    358,678.80/537,892.47 = 105,891.84/x
  3. Step 3: Cross multiply
    358,678.80x = 537,892.47 × 105,891.84
  4. Step 4: Simplify right side
    358,678.80x = 56,958,423,370.44
  5. Step 5: Solve for x
    x = 56,958,423,370.44/358,678.80
  6. Step 6: Final answer
    x = 158,800.64

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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.