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Finding the Fourth Proportional to 216,824.65, 299,208.18 and 120,032.08

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Solution

The fourth proportional to 216,824.65, 299,208.18 and 120,032.08 is: 165,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,824.65 : 299,208.18 = 120,032.08 : x
  2. Step 2: Convert to fraction form
    216,824.65/299,208.18 = 120,032.08/x
  3. Step 3: Cross multiply
    216,824.65x = 299,208.18 × 120,032.08
  4. Step 4: Simplify right side
    216,824.65x = 35,914,580,198.41
  5. Step 5: Solve for x
    x = 35,914,580,198.41/216,824.65
  6. Step 6: Final answer
    x = 165,638.82

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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.