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Finding the Fourth Proportional to 120,666.84, 181,005.12 and 57,454.44

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Solution

The fourth proportional to 120,666.84, 181,005.12 and 57,454.44 is: 86,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,666.84 : 181,005.12 = 57,454.44 : x
  2. Step 2: Convert to fraction form
    120,666.84/181,005.12 = 57,454.44/x
  3. Step 3: Cross multiply
    120,666.84x = 181,005.12 × 57,454.44
  4. Step 4: Simplify right side
    120,666.84x = 10,399,547,806.73
  5. Step 5: Solve for x
    x = 10,399,547,806.73/120,666.84
  6. Step 6: Final answer
    x = 86,183.97

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1.5x scale

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.