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Finding the Fourth Proportional to 216,106.24, 324,256.32 and 137,199.36

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Solution

The fourth proportional to 216,106.24, 324,256.32 and 137,199.36 is: 205,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,106.24 : 324,256.32 = 137,199.36 : x
  2. Step 2: Convert to fraction form
    216,106.24/324,256.32 = 137,199.36/x
  3. Step 3: Cross multiply
    216,106.24x = 324,256.32 × 137,199.36
  4. Step 4: Simplify right side
    216,106.24x = 44,487,759,579.96
  5. Step 5: Solve for x
    x = 44,487,759,579.96/216,106.24
  6. Step 6: Final answer
    x = 205,860.60

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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.