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Finding the Fourth Proportional to 297,154.85, 410,070.20 and 161,186.22

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Solution

The fourth proportional to 297,154.85, 410,070.20 and 161,186.22 is: 222,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,154.85 : 410,070.20 = 161,186.22 : x
  2. Step 2: Convert to fraction form
    297,154.85/410,070.20 = 161,186.22/x
  3. Step 3: Cross multiply
    297,154.85x = 410,070.20 × 161,186.22
  4. Step 4: Simplify right side
    297,154.85x = 66,097,664,666.71
  5. Step 5: Solve for x
    x = 66,097,664,666.71/297,154.85
  6. Step 6: Final answer
    x = 222,435.09

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1.5x scale

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.