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Finding the Fourth Proportional to 205,089.20, 307,633.80 and 195,412.40

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Solution

The fourth proportional to 205,089.20, 307,633.80 and 195,412.40 is: 293,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,089.20 : 307,633.80 = 195,412.40 : x
  2. Step 2: Convert to fraction form
    205,089.20/307,633.80 = 195,412.40/x
  3. Step 3: Cross multiply
    205,089.20x = 307,633.80 × 195,412.40
  4. Step 4: Simplify right side
    205,089.20x = 60,115,459,179.12
  5. Step 5: Solve for x
    x = 60,115,459,179.12/205,089.20
  6. Step 6: Final answer
    x = 293,118.60

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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.