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Finding the Fourth Proportional to 160,825, 221,938.68 and 93,769.96

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Solution

The fourth proportional to 160,825, 221,938.68 and 93,769.96 is: 129,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,825 : 221,938.68 = 93,769.96 : x
  2. Step 2: Convert to fraction form
    160,825/221,938.68 = 93,769.96/x
  3. Step 3: Cross multiply
    160,825x = 221,938.68 × 93,769.96
  4. Step 4: Simplify right side
    160,825x = 20,811,181,146.05
  5. Step 5: Solve for x
    x = 20,811,181,146.05/160,825
  6. Step 6: Final answer
    x = 129,402.65

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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.