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Finding the Fourth Proportional to 209,462.54, 288,722.22 and 141,457.77

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Solution

The fourth proportional to 209,462.54, 288,722.22 and 141,457.77 is: 194,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,462.54 : 288,722.22 = 141,457.77 : x
  2. Step 2: Convert to fraction form
    209,462.54/288,722.22 = 141,457.77/x
  3. Step 3: Cross multiply
    209,462.54x = 288,722.22 × 141,457.77
  4. Step 4: Simplify right side
    209,462.54x = 40,842,001,390.65
  5. Step 5: Solve for x
    x = 40,842,001,390.65/209,462.54
  6. Step 6: Final answer
    x = 194,984.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.