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Finding the Fourth Proportional to 219,051.84, 328,762.08 and 205,227.84

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Solution

The fourth proportional to 219,051.84, 328,762.08 and 205,227.84 is: 308,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,051.84 : 328,762.08 = 205,227.84 : x
  2. Step 2: Convert to fraction form
    219,051.84/328,762.08 = 205,227.84/x
  3. Step 3: Cross multiply
    219,051.84x = 328,762.08 × 205,227.84
  4. Step 4: Simplify right side
    219,051.84x = 67,471,131,552.31
  5. Step 5: Solve for x
    x = 67,471,131,552.31/219,051.84
  6. Step 6: Final answer
    x = 308,014.45

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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.