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Finding the Fourth Proportional to 209,673.50, 314,512.68 and 51,903.32

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Solution

The fourth proportional to 209,673.50, 314,512.68 and 51,903.32 is: 77,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,673.50 : 314,512.68 = 51,903.32 : x
  2. Step 2: Convert to fraction form
    209,673.50/314,512.68 = 51,903.32/x
  3. Step 3: Cross multiply
    209,673.50x = 314,512.68 × 51,903.32
  4. Step 4: Simplify right side
    209,673.50x = 16,324,252,274.10
  5. Step 5: Solve for x
    x = 16,324,252,274.10/209,673.50
  6. Step 6: Final answer
    x = 77,855.58

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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.