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Finding the Fourth Proportional to 309,110.10, 463,405.95 and 161,366.10

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Solution

The fourth proportional to 309,110.10, 463,405.95 and 161,366.10 is: 241,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,110.10 : 463,405.95 = 161,366.10 : x
  2. Step 2: Convert to fraction form
    309,110.10/463,405.95 = 161,366.10/x
  3. Step 3: Cross multiply
    309,110.10x = 463,405.95 × 161,366.10
  4. Step 4: Simplify right side
    309,110.10x = 74,778,010,868.30
  5. Step 5: Solve for x
    x = 74,778,010,868.30/309,110.10
  6. Step 6: Final answer
    x = 241,913.84

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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.