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Finding the Fourth Proportional to 205,457.40, 307,991.70 and 121,282.20

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Solution

The fourth proportional to 205,457.40, 307,991.70 and 121,282.20 is: 181,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,457.40 : 307,991.70 = 121,282.20 : x
  2. Step 2: Convert to fraction form
    205,457.40/307,991.70 = 121,282.20/x
  3. Step 3: Cross multiply
    205,457.40x = 307,991.70 × 121,282.20
  4. Step 4: Simplify right side
    205,457.40x = 37,353,910,957.74
  5. Step 5: Solve for x
    x = 37,353,910,957.74/205,457.40
  6. Step 6: Final answer
    x = 181,808.55

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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.