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Finding the Fourth Proportional to 209,084.69, 313,638.95 and 59,313.26

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Solution

The fourth proportional to 209,084.69, 313,638.95 and 59,313.26 is: 88,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,084.69 : 313,638.95 = 59,313.26 : x
  2. Step 2: Convert to fraction form
    209,084.69/313,638.95 = 59,313.26/x
  3. Step 3: Cross multiply
    209,084.69x = 313,638.95 × 59,313.26
  4. Step 4: Simplify right side
    209,084.69x = 18,602,949,519.86
  5. Step 5: Solve for x
    x = 18,602,949,519.86/209,084.69
  6. Step 6: Final answer
    x = 88,973.27

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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.