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Finding the Fourth Proportional to 181,998.90, 272,933.55 and 82,206.90

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Solution

The fourth proportional to 181,998.90, 272,933.55 and 82,206.90 is: 123,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,998.90 : 272,933.55 = 82,206.90 : x
  2. Step 2: Convert to fraction form
    181,998.90/272,933.55 = 82,206.90/x
  3. Step 3: Cross multiply
    181,998.90x = 272,933.55 × 82,206.90
  4. Step 4: Simplify right side
    181,998.90x = 22,437,021,051.50
  5. Step 5: Solve for x
    x = 22,437,021,051.50/181,998.90
  6. Step 6: Final answer
    x = 123,281.08

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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.