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Finding the Fourth Proportional to 376,732.47, 565,127.64 and 106,855.98

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Solution

The fourth proportional to 376,732.47, 565,127.64 and 106,855.98 is: 160,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,732.47 : 565,127.64 = 106,855.98 : x
  2. Step 2: Convert to fraction form
    376,732.47/565,127.64 = 106,855.98/x
  3. Step 3: Cross multiply
    376,732.47x = 565,127.64 × 106,855.98
  4. Step 4: Simplify right side
    376,732.47x = 60,387,267,797.29
  5. Step 5: Solve for x
    x = 60,387,267,797.29/376,732.47
  6. Step 6: Final answer
    x = 160,292.18

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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.