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Finding the Fourth Proportional to 209,006.16, 288,261.72 and 137,459.64

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Solution

The fourth proportional to 209,006.16, 288,261.72 and 137,459.64 is: 189,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,006.16 : 288,261.72 = 137,459.64 : x
  2. Step 2: Convert to fraction form
    209,006.16/288,261.72 = 137,459.64/x
  3. Step 3: Cross multiply
    209,006.16x = 288,261.72 × 137,459.64
  4. Step 4: Simplify right side
    209,006.16x = 39,624,352,256.98
  5. Step 5: Solve for x
    x = 39,624,352,256.98/209,006.16
  6. Step 6: Final answer
    x = 189,584.61

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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.