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Finding the Fourth Proportional to 209,359.49, 314,039.40 and 51,587.96

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Solution

The fourth proportional to 209,359.49, 314,039.40 and 51,587.96 is: 77,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,359.49 : 314,039.40 = 51,587.96 : x
  2. Step 2: Convert to fraction form
    209,359.49/314,039.40 = 51,587.96/x
  3. Step 3: Cross multiply
    209,359.49x = 314,039.40 × 51,587.96
  4. Step 4: Simplify right side
    209,359.49x = 16,200,650,435.43
  5. Step 5: Solve for x
    x = 16,200,650,435.43/209,359.49
  6. Step 6: Final answer
    x = 77,381.98

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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.