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Finding the Fourth Proportional to 161,812.84, 222,793.56 and 137,566.09

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Solution

The fourth proportional to 161,812.84, 222,793.56 and 137,566.09 is: 189,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,812.84 : 222,793.56 = 137,566.09 : x
  2. Step 2: Convert to fraction form
    161,812.84/222,793.56 = 137,566.09/x
  3. Step 3: Cross multiply
    161,812.84x = 222,793.56 × 137,566.09
  4. Step 4: Simplify right side
    161,812.84x = 30,648,838,926.38
  5. Step 5: Solve for x
    x = 30,648,838,926.38/161,812.84
  6. Step 6: Final answer
    x = 189,409.19

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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.