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Finding the Fourth Proportional to 205,308.20, 307,703.10 and 181,980.20

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Solution

The fourth proportional to 205,308.20, 307,703.10 and 181,980.20 is: 272,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,308.20 : 307,703.10 = 181,980.20 : x
  2. Step 2: Convert to fraction form
    205,308.20/307,703.10 = 181,980.20/x
  3. Step 3: Cross multiply
    205,308.20x = 307,703.10 × 181,980.20
  4. Step 4: Simplify right side
    205,308.20x = 55,995,871,678.62
  5. Step 5: Solve for x
    x = 55,995,871,678.62/205,308.20
  6. Step 6: Final answer
    x = 272,740.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.