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Finding the Fourth Proportional to 297,061.99, 409,945.65 and 161,095.90

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Solution

The fourth proportional to 297,061.99, 409,945.65 and 161,095.90 is: 222,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,061.99 : 409,945.65 = 161,095.90 : x
  2. Step 2: Convert to fraction form
    297,061.99/409,945.65 = 161,095.90/x
  3. Step 3: Cross multiply
    297,061.99x = 409,945.65 × 161,095.90
  4. Step 4: Simplify right side
    297,061.99x = 66,040,563,437.84
  5. Step 5: Solve for x
    x = 66,040,563,437.84/297,061.99
  6. Step 6: Final answer
    x = 222,312.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.