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Finding the Fourth Proportional to 309,158.64, 463,913.46 and 131,647.14

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Solution

The fourth proportional to 309,158.64, 463,913.46 and 131,647.14 is: 197,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,158.64 : 463,913.46 = 131,647.14 : x
  2. Step 2: Convert to fraction form
    309,158.64/463,913.46 = 131,647.14/x
  3. Step 3: Cross multiply
    309,158.64x = 463,913.46 × 131,647.14
  4. Step 4: Simplify right side
    309,158.64x = 61,072,880,216.50
  5. Step 5: Solve for x
    x = 61,072,880,216.50/309,158.64
  6. Step 6: Final answer
    x = 197,545.44

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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.