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Finding the Fourth Proportional to 274,320.76, 411,497.19 and 105,841.98

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Solution

The fourth proportional to 274,320.76, 411,497.19 and 105,841.98 is: 158,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,320.76 : 411,497.19 = 105,841.98 : x
  2. Step 2: Convert to fraction form
    274,320.76/411,497.19 = 105,841.98/x
  3. Step 3: Cross multiply
    274,320.76x = 411,497.19 × 105,841.98
  4. Step 4: Simplify right side
    274,320.76x = 43,553,677,354.04
  5. Step 5: Solve for x
    x = 43,553,677,354.04/274,320.76
  6. Step 6: Final answer
    x = 158,769.16

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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.