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Finding the Fourth Proportional to 209,672.50, 314,511.18 and 51,902.32

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Solution

The fourth proportional to 209,672.50, 314,511.18 and 51,902.32 is: 77,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,672.50 : 314,511.18 = 51,902.32 : x
  2. Step 2: Convert to fraction form
    209,672.50/314,511.18 = 51,902.32/x
  3. Step 3: Cross multiply
    209,672.50x = 314,511.18 × 51,902.32
  4. Step 4: Simplify right side
    209,672.50x = 16,323,859,907.94
  5. Step 5: Solve for x
    x = 16,323,859,907.94/209,672.50
  6. Step 6: Final answer
    x = 77,854.08

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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.